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Finding the Fourth Proportional to 418,624.32, 627,958.20 and 138,163.44

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Solution

The fourth proportional to 418,624.32, 627,958.20 and 138,163.44 is: 207,252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,624.32 : 627,958.20 = 138,163.44 : x
  2. Step 2: Convert to fraction form
    418,624.32/627,958.20 = 138,163.44/x
  3. Step 3: Cross multiply
    418,624.32x = 627,958.20 × 138,163.44
  4. Step 4: Simplify right side
    418,624.32x = 86,760,865,088.21
  5. Step 5: Solve for x
    x = 86,760,865,088.21/418,624.32
  6. Step 6: Final answer
    x = 207,252.33

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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.