Let {N(t) : t >=0} be a Poisson process of rate 1 and let $\displaystyle T_{1} < T_{2} < ...$ denote the times of the points. Derive the pdf of $\displaystyle Y=T_{2}/T_{4}$

So I've been trying to work with the distribution function. I have:

$\displaystyle P(T_{2}/T_{4} > x) = P(T_{2} > xT_{4}) = P(N(xT_{4}) \in \{0,1\})$

I get stuck there though and can't find a similar example.