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Finding the Fourth Proportional to 418,494.72, 627,537.96 and 148,531.44

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Solution

The fourth proportional to 418,494.72, 627,537.96 and 148,531.44 is: 222,724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,494.72 : 627,537.96 = 148,531.44 : x
  2. Step 2: Convert to fraction form
    418,494.72/627,537.96 = 148,531.44/x
  3. Step 3: Cross multiply
    418,494.72x = 627,537.96 × 148,531.44
  4. Step 4: Simplify right side
    418,494.72x = 93,209,116,853.46
  5. Step 5: Solve for x
    x = 93,209,116,853.46/418,494.72
  6. Step 6: Final answer
    x = 222,724.71

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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.