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Finding the Fourth Proportional to 418,589.64, 627,042.78 and 193,634.28

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Solution

The fourth proportional to 418,589.64, 627,042.78 and 193,634.28 is: 290,062.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,589.64 : 627,042.78 = 193,634.28 : x
  2. Step 2: Convert to fraction form
    418,589.64/627,042.78 = 193,634.28/x
  3. Step 3: Cross multiply
    418,589.64x = 627,042.78 × 193,634.28
  4. Step 4: Simplify right side
    418,589.64x = 121,416,977,234.50
  5. Step 5: Solve for x
    x = 121,416,977,234.50/418,589.64
  6. Step 6: Final answer
    x = 290,062.07

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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.