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Finding the Fourth Proportional to 278,487.81, 417,747.96 and 78,791.49

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Solution

The fourth proportional to 278,487.81, 417,747.96 and 78,791.49 is: 118,191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,487.81 : 417,747.96 = 78,791.49 : x
  2. Step 2: Convert to fraction form
    278,487.81/417,747.96 = 78,791.49/x
  3. Step 3: Cross multiply
    278,487.81x = 417,747.96 × 78,791.49
  4. Step 4: Simplify right side
    278,487.81x = 32,914,984,212.86
  5. Step 5: Solve for x
    x = 32,914,984,212.86/278,487.81
  6. Step 6: Final answer
    x = 118,191.83

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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.