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Finding the Fourth Proportional to 418,964.46, 628,545.12 and 138,481.72

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Solution

The fourth proportional to 418,964.46, 628,545.12 and 138,481.72 is: 207,755.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,964.46 : 628,545.12 = 138,481.72 : x
  2. Step 2: Convert to fraction form
    418,964.46/628,545.12 = 138,481.72/x
  3. Step 3: Cross multiply
    418,964.46x = 628,545.12 × 138,481.72
  4. Step 4: Simplify right side
    418,964.46x = 87,042,009,315.21
  5. Step 5: Solve for x
    x = 87,042,009,315.21/418,964.46
  6. Step 6: Final answer
    x = 207,755.11

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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.