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Finding the Fourth Proportional to 418,387.32, 627,429.12 and 228,987.60

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Solution

The fourth proportional to 418,387.32, 627,429.12 and 228,987.60 is: 343,398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,387.32 : 627,429.12 = 228,987.60 : x
  2. Step 2: Convert to fraction form
    418,387.32/627,429.12 = 228,987.60/x
  3. Step 3: Cross multiply
    418,387.32x = 627,429.12 × 228,987.60
  4. Step 4: Simplify right side
    418,387.32x = 143,673,488,358.91
  5. Step 5: Solve for x
    x = 143,673,488,358.91/418,387.32
  6. Step 6: Final answer
    x = 343,398.29

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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.