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Finding the Fourth Proportional to 521,348.70, 782,023.05 and 409,374.30

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Solution

The fourth proportional to 521,348.70, 782,023.05 and 409,374.30 is: 614,061.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,348.70 : 782,023.05 = 409,374.30 : x
  2. Step 2: Convert to fraction form
    521,348.70/782,023.05 = 409,374.30/x
  3. Step 3: Cross multiply
    521,348.70x = 782,023.05 × 409,374.30
  4. Step 4: Simplify right side
    521,348.70x = 320,140,138,677.62
  5. Step 5: Solve for x
    x = 320,140,138,677.62/521,348.70
  6. Step 6: Final answer
    x = 614,061.45

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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.