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Finding the Fourth Proportional to 521,711.10, 782,566.65 and 486,459.90

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Solution

The fourth proportional to 521,711.10, 782,566.65 and 486,459.90 is: 729,689.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,711.10 : 782,566.65 = 486,459.90 : x
  2. Step 2: Convert to fraction form
    521,711.10/782,566.65 = 486,459.90/x
  3. Step 3: Cross multiply
    521,711.10x = 782,566.65 × 486,459.90
  4. Step 4: Simplify right side
    521,711.10x = 380,687,294,302.34
  5. Step 5: Solve for x
    x = 380,687,294,302.34/521,711.10
  6. Step 6: Final answer
    x = 729,689.85

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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.