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Finding the Fourth Proportional to 502,580.28, 693,562.32 and 287,721.96

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Solution

The fourth proportional to 502,580.28, 693,562.32 and 287,721.96 is: 397,057.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,580.28 : 693,562.32 = 287,721.96 : x
  2. Step 2: Convert to fraction form
    502,580.28/693,562.32 = 287,721.96/x
  3. Step 3: Cross multiply
    502,580.28x = 693,562.32 × 287,721.96
  4. Step 4: Simplify right side
    502,580.28x = 199,553,110,092.55
  5. Step 5: Solve for x
    x = 199,553,110,092.55/502,580.28
  6. Step 6: Final answer
    x = 397,057.18

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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.