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Finding the Fourth Proportional to 278,280, 417,489.12 and 81,288

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Solution

The fourth proportional to 278,280, 417,489.12 and 81,288 is: 121,952.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,280 : 417,489.12 = 81,288 : x
  2. Step 2: Convert to fraction form
    278,280/417,489.12 = 81,288/x
  3. Step 3: Cross multiply
    278,280x = 417,489.12 × 81,288
  4. Step 4: Simplify right side
    278,280x = 33,936,855,586.56
  5. Step 5: Solve for x
    x = 33,936,855,586.56/278,280
  6. Step 6: Final answer
    x = 121,952.19

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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.