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Finding the Fourth Proportional to 521,359.70, 782,039.55 and 409,385.30

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Solution

The fourth proportional to 521,359.70, 782,039.55 and 409,385.30 is: 614,077.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,359.70 : 782,039.55 = 409,385.30 : x
  2. Step 2: Convert to fraction form
    521,359.70/782,039.55 = 409,385.30/x
  3. Step 3: Cross multiply
    521,359.70x = 782,039.55 × 409,385.30
  4. Step 4: Simplify right side
    521,359.70x = 320,155,495,788.62
  5. Step 5: Solve for x
    x = 320,155,495,788.62/521,359.70
  6. Step 6: Final answer
    x = 614,077.95

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Similar ratio
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1.5x scale

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.