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Finding the Fourth Proportional to 418,439.52, 627,663.66 and 165,781.50

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Solution

The fourth proportional to 418,439.52, 627,663.66 and 165,781.50 is: 248,673.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,439.52 : 627,663.66 = 165,781.50 : x
  2. Step 2: Convert to fraction form
    418,439.52/627,663.66 = 165,781.50/x
  3. Step 3: Cross multiply
    418,439.52x = 627,663.66 × 165,781.50
  4. Step 4: Simplify right side
    418,439.52x = 104,055,023,050.29
  5. Step 5: Solve for x
    x = 104,055,023,050.29/418,439.52
  6. Step 6: Final answer
    x = 248,673.99

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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.