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Finding the Fourth Proportional to 418,422.97, 627,598.90 and 165,634.73

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Solution

The fourth proportional to 418,422.97, 627,598.90 and 165,634.73 is: 248,438.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,422.97 : 627,598.90 = 165,634.73 : x
  2. Step 2: Convert to fraction form
    418,422.97/627,598.90 = 165,634.73/x
  3. Step 3: Cross multiply
    418,422.97x = 627,598.90 × 165,634.73
  4. Step 4: Simplify right side
    418,422.97x = 103,952,174,349.80
  5. Step 5: Solve for x
    x = 103,952,174,349.80/418,422.97
  6. Step 6: Final answer
    x = 248,438.02

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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.