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Finding the Fourth Proportional to 278,497.80, 417,693.42 and 78,769.98

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Solution

The fourth proportional to 278,497.80, 417,693.42 and 78,769.98 is: 118,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,497.80 : 417,693.42 = 78,769.98 : x
  2. Step 2: Convert to fraction form
    278,497.80/417,693.42 = 78,769.98/x
  3. Step 3: Cross multiply
    278,497.80x = 417,693.42 × 78,769.98
  4. Step 4: Simplify right side
    278,497.80x = 32,901,702,339.53
  5. Step 5: Solve for x
    x = 32,901,702,339.53/278,497.80
  6. Step 6: Final answer
    x = 118,139.90

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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.