A question involving the concept of co-ordinate geometry.

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A line through origin meet the parallel lines 4x+2y=9 and 2x+y+6=0 at P,Q. Then the origin divides PQ in the ratio?

I tried using parametric form of equation but I feel the data is insufficient. Can anyone please help me.

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It's Just a similarity of triangles: $$\left|\frac{-9}{\sqrt{4^2+2^2}}\right|:\left|\frac{6}{\sqrt{2^2+1^2}}\right|=3:4$$