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Finding the Fourth Proportional to 526,605.43, 726,712.50 and 284,887.30

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Solution

The fourth proportional to 526,605.43, 726,712.50 and 284,887.30 is: 393,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,605.43 : 726,712.50 = 284,887.30 : x
  2. Step 2: Convert to fraction form
    526,605.43/726,712.50 = 284,887.30/x
  3. Step 3: Cross multiply
    526,605.43x = 726,712.50 × 284,887.30
  4. Step 4: Simplify right side
    526,605.43x = 207,031,162,001.25
  5. Step 5: Solve for x
    x = 207,031,162,001.25/526,605.43
  6. Step 6: Final answer
    x = 393,142.85

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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.