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Finding the Fourth Proportional to 278,863.74, 418,305.42 and 89,329.86

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Solution

The fourth proportional to 278,863.74, 418,305.42 and 89,329.86 is: 133,997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,863.74 : 418,305.42 = 89,329.86 : x
  2. Step 2: Convert to fraction form
    278,863.74/418,305.42 = 89,329.86/x
  3. Step 3: Cross multiply
    278,863.74x = 418,305.42 × 89,329.86
  4. Step 4: Simplify right side
    278,863.74x = 37,367,164,605.84
  5. Step 5: Solve for x
    x = 37,367,164,605.84/278,863.74
  6. Step 6: Final answer
    x = 133,997.93

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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.