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Finding the Fourth Proportional to 418,078.52, 627,159.30 and 133,697.62

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Solution

The fourth proportional to 418,078.52, 627,159.30 and 133,697.62 is: 200,559.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,078.52 : 627,159.30 = 133,697.62 : x
  2. Step 2: Convert to fraction form
    418,078.52/627,159.30 = 133,697.62/x
  3. Step 3: Cross multiply
    418,078.52x = 627,159.30 × 133,697.62
  4. Step 4: Simplify right side
    418,078.52x = 83,849,705,770.87
  5. Step 5: Solve for x
    x = 83,849,705,770.87/418,078.52
  6. Step 6: Final answer
    x = 200,559.71

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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.