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Finding the Fourth Proportional to 279,974.69, 419,695.97 and 178,487.85

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Solution

The fourth proportional to 279,974.69, 419,695.97 and 178,487.85 is: 267,562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,974.69 : 419,695.97 = 178,487.85 : x
  2. Step 2: Convert to fraction form
    279,974.69/419,695.97 = 178,487.85/x
  3. Step 3: Cross multiply
    279,974.69x = 419,695.97 × 178,487.85
  4. Step 4: Simplify right side
    279,974.69x = 74,910,630,446.53
  5. Step 5: Solve for x
    x = 74,910,630,446.53/279,974.69
  6. Step 6: Final answer
    x = 267,562.16

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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.