Classic Vector Addition Problem

$\overline {P}$ is a point in the plane of $\triangle ABC$ , such that $\overline {PA} +2\overline {PB} + 3\overline {PC} = \overline {O}$

Find the ratio of the area of $\triangle ABC$ to that of $\triangle PBC$ .

Note :- Here $\overline {AB}$ represents vector joining point A and B and its direction is from A to B.