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Finding the Fourth Proportional to 408,178.56, 612,273.96 and 155,472.96

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Solution

The fourth proportional to 408,178.56, 612,273.96 and 155,472.96 is: 233,211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,178.56 : 612,273.96 = 155,472.96 : x
  2. Step 2: Convert to fraction form
    408,178.56/612,273.96 = 155,472.96/x
  3. Step 3: Cross multiply
    408,178.56x = 612,273.96 × 155,472.96
  4. Step 4: Simplify right side
    408,178.56x = 95,192,044,892.12
  5. Step 5: Solve for x
    x = 95,192,044,892.12/408,178.56
  6. Step 6: Final answer
    x = 233,211.77

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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.