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Finding the Fourth Proportional to 418,387.73, 627,332.14 and 165,704.48

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Solution

The fourth proportional to 418,387.73, 627,332.14 and 165,704.48 is: 248,457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,387.73 : 627,332.14 = 165,704.48 : x
  2. Step 2: Convert to fraction form
    418,387.73/627,332.14 = 165,704.48/x
  3. Step 3: Cross multiply
    418,387.73x = 627,332.14 × 165,704.48
  4. Step 4: Simplify right side
    418,387.73x = 103,951,748,997.70
  5. Step 5: Solve for x
    x = 103,951,748,997.70/418,387.73
  6. Step 6: Final answer
    x = 248,457.93

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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.