Since the ratio of d to 150 ft is the same as the ratio of 120 ft to 30 ft, we can write
[tex]\begin{gathered} \frac{d}{150}=\frac{120}{30} \\ \frac{d}{150}=4 \\ d=150\times4=600 \end{gathered}[/tex]Therefore, the distance, d, across the river is 600 ft.