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Finding the Fourth Proportional to 478,500.52, 717,755.60 and 204,909.76

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Solution

The fourth proportional to 478,500.52, 717,755.60 and 204,909.76 is: 307,366.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,500.52 : 717,755.60 = 204,909.76 : x
  2. Step 2: Convert to fraction form
    478,500.52/717,755.60 = 204,909.76/x
  3. Step 3: Cross multiply
    478,500.52x = 717,755.60 × 204,909.76
  4. Step 4: Simplify right side
    478,500.52x = 147,075,127,734.66
  5. Step 5: Solve for x
    x = 147,075,127,734.66/478,500.52
  6. Step 6: Final answer
    x = 307,366.70

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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.