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Finding the Fourth Proportional to 418,425.52, 627,642.66 and 165,767.50

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Solution

The fourth proportional to 418,425.52, 627,642.66 and 165,767.50 is: 248,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,425.52 : 627,642.66 = 165,767.50 : x
  2. Step 2: Convert to fraction form
    418,425.52/627,642.66 = 165,767.50/x
  3. Step 3: Cross multiply
    418,425.52x = 627,642.66 × 165,767.50
  4. Step 4: Simplify right side
    418,425.52x = 104,042,754,641.55
  5. Step 5: Solve for x
    x = 104,042,754,641.55/418,425.52
  6. Step 6: Final answer
    x = 248,652.99

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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.