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Finding the Fourth Proportional to 418,308.24, 627,560.80 and 137,825.52

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Solution

The fourth proportional to 418,308.24, 627,560.80 and 137,825.52 is: 206,770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,308.24 : 627,560.80 = 137,825.52 : x
  2. Step 2: Convert to fraction form
    418,308.24/627,560.80 = 137,825.52/x
  3. Step 3: Cross multiply
    418,308.24x = 627,560.80 × 137,825.52
  4. Step 4: Simplify right side
    418,308.24x = 86,493,893,591.62
  5. Step 5: Solve for x
    x = 86,493,893,591.62/418,308.24
  6. Step 6: Final answer
    x = 206,770.71

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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.