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Finding the Fourth Proportional to 279,311.23, 419,174.71 and 137,232.78

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Solution

The fourth proportional to 279,311.23, 419,174.71 and 137,232.78 is: 205,951.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,311.23 : 419,174.71 = 137,232.78 : x
  2. Step 2: Convert to fraction form
    279,311.23/419,174.71 = 137,232.78/x
  3. Step 3: Cross multiply
    279,311.23x = 419,174.71 × 137,232.78
  4. Step 4: Simplify right side
    279,311.23x = 57,524,508,663.12
  5. Step 5: Solve for x
    x = 57,524,508,663.12/279,311.23
  6. Step 6: Final answer
    x = 205,951.29

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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.