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Finding the Fourth Proportional to 278,767.89, 418,134.90 and 98,862.24

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Solution

The fourth proportional to 278,767.89, 418,134.90 and 98,862.24 is: 148,287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,767.89 : 418,134.90 = 98,862.24 : x
  2. Step 2: Convert to fraction form
    278,767.89/418,134.90 = 98,862.24/x
  3. Step 3: Cross multiply
    278,767.89x = 418,134.90 × 98,862.24
  4. Step 4: Simplify right side
    278,767.89x = 41,337,752,836.18
  5. Step 5: Solve for x
    x = 41,337,752,836.18/278,767.89
  6. Step 6: Final answer
    x = 148,287.35

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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.