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Finding the Fourth Proportional to 278,795.91, 418,404.18 and 129,141.20

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Solution

The fourth proportional to 278,795.91, 418,404.18 and 129,141.20 is: 193,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,795.91 : 418,404.18 = 129,141.20 : x
  2. Step 2: Convert to fraction form
    278,795.91/418,404.18 = 129,141.20/x
  3. Step 3: Cross multiply
    278,795.91x = 418,404.18 × 129,141.20
  4. Step 4: Simplify right side
    278,795.91x = 54,033,215,798.20
  5. Step 5: Solve for x
    x = 54,033,215,798.20/278,795.91
  6. Step 6: Final answer
    x = 193,809.21

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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.