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Finding the Fourth Proportional to 418,590.64, 627,044.28 and 193,635.28

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Solution

The fourth proportional to 418,590.64, 627,044.28 and 193,635.28 is: 290,063.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,590.64 : 627,044.28 = 193,635.28 : x
  2. Step 2: Convert to fraction form
    418,590.64/627,044.28 = 193,635.28/x
  3. Step 3: Cross multiply
    418,590.64x = 627,044.28 × 193,635.28
  4. Step 4: Simplify right side
    418,590.64x = 121,417,894,730.20
  5. Step 5: Solve for x
    x = 121,417,894,730.20/418,590.64
  6. Step 6: Final answer
    x = 290,063.57

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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.