Finding the Fourth Proportional to 971,824.10, 1,458,465.15 and 498,265.70
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Solution
The fourth proportional to 971,824.10, 1,458,465.15 and 498,265.70 is: 747,772.32
Step by Step Solution
- Step 1: Write the proportion equation
971,824.10 : 1,458,465.15 = 498,265.70 : x - Step 2: Convert to fraction form
971,824.10/1,458,465.15 = 498,265.70/x - Step 3: Cross multiply
971,824.10x = 1,458,465.15 × 498,265.70 - Step 4: Simplify right side
971,824.10x = 726,703,158,890.36 - Step 5: Solve for x
x = 726,703,158,890.36/971,824.10 - Step 6: Final answer
x = 747,772.32
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.