To make a 1:4 gearing ratio you need to drive a gear that has four times as many teeth as the driving gear. Unfortunately there are no pairs of gears in Lego Technic that have this ratio. If there was a 32 tooth gear then you could drive that with an 8 tooth gear to make the 1:4 gearing ratio, but unfortunately that gear has not yet been created by Lego.

Instead you need to make 1:4 using a gear train of other gears. The most obvious is just two 1:2 gearing ratios in series (1/2 x 1/2 = 1/4)  as shown in the diagram below:

Here the gearing ratio is 1:4 between the two reddish-brown axles. The design uses two 12 tooth gears and two 24 tooth gears. The gears can be laid out differently to create a different spacing between the two axles.

Another solution is to place in series a 1:3 gearing ratio followed by a 3:4 gearing ratio. When you multiply these together (1/3 x 3/4) you also get 1:4. To create a 3:4 gearing ratio you can drive a 12 tooth gear onto a 16 tooth gear. Unfortunately you cannot easily directly drive a 12 onto a 16 but it can be done with a 20 tooth intermediate gear. A 1:3 can be created simply with an 8 tooth gear driving a 24 tooth gear so the final design is shown below:

Here the gearing ratio is 1:4 between the left and right axles. This design uses 5 gears instead of the 4 above but has a spacing of 3 units between the axles and the reverse direction on the output axle which may be desirable.

Another solution is to drive an 8 tooth gear with a worm gear and then to finish that with a 2:1 gearing ratio so that 1/8 x 2/1 = 1/4.