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Finding the Fourth Proportional to 318,866.38, 478,306.80 and 119,077.78

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Solution

The fourth proportional to 318,866.38, 478,306.80 and 119,077.78 is: 178,619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,866.38 : 478,306.80 = 119,077.78 : x
  2. Step 2: Convert to fraction form
    318,866.38/478,306.80 = 119,077.78/x
  3. Step 3: Cross multiply
    318,866.38x = 478,306.80 × 119,077.78
  4. Step 4: Simplify right side
    318,866.38x = 56,955,711,902.90
  5. Step 5: Solve for x
    x = 56,955,711,902.90/318,866.38
  6. Step 6: Final answer
    x = 178,619.37

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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.