Finding the Fourth Proportional to 465,460,946.82, 642,340,565.47 and 256,624,579.26
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Solution
The fourth proportional to 465,460,946.82, 642,340,565.47 and 256,624,579.26 is: 354,144,377.70
Step by Step Solution
- Step 1: Write the proportion equation
465,460,946.82 : 642,340,565.47 = 256,624,579.26 : x - Step 2: Convert to fraction form
465,460,946.82/642,340,565.47 = 256,624,579.26/x - Step 3: Cross multiply
465,460,946.82x = 642,340,565.47 × 256,624,579.26 - Step 4: Simplify right side
465,460,946.82x = 164,840,377,355,690,016 - Step 5: Solve for x
x = 164,840,377,355,690,016/465,460,946.82 - Step 6: Final answer
x = 354,144,377.70
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.