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Finding the Fourth Proportional to 418,499.30, 627,748.95 and 138,001.70

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Solution

The fourth proportional to 418,499.30, 627,748.95 and 138,001.70 is: 207,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,499.30 : 627,748.95 = 138,001.70 : x
  2. Step 2: Convert to fraction form
    418,499.30/627,748.95 = 138,001.70/x
  3. Step 3: Cross multiply
    418,499.30x = 627,748.95 × 138,001.70
  4. Step 4: Simplify right side
    418,499.30x = 86,630,422,273.22
  5. Step 5: Solve for x
    x = 86,630,422,273.22/418,499.30
  6. Step 6: Final answer
    x = 207,002.55

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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.