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Finding the Fourth Proportional to 478,270.64, 717,385.20 and 178,753.81

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Solution

The fourth proportional to 478,270.64, 717,385.20 and 178,753.81 is: 268,122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,270.64 : 717,385.20 = 178,753.81 : x
  2. Step 2: Convert to fraction form
    478,270.64/717,385.20 = 178,753.81/x
  3. Step 3: Cross multiply
    478,270.64x = 717,385.20 × 178,753.81
  4. Step 4: Simplify right side
    478,270.64x = 128,235,337,737.61
  5. Step 5: Solve for x
    x = 128,235,337,737.61/478,270.64
  6. Step 6: Final answer
    x = 268,122.96

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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.