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Finding the Fourth Proportional to 418,274.38, 627,217.82 and 338,115.36

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Solution

The fourth proportional to 418,274.38, 627,217.82 and 338,115.36 is: 507,016.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,274.38 : 627,217.82 = 338,115.36 : x
  2. Step 2: Convert to fraction form
    418,274.38/627,217.82 = 338,115.36/x
  3. Step 3: Cross multiply
    418,274.38x = 627,217.82 × 338,115.36
  4. Step 4: Simplify right side
    418,274.38x = 212,071,980,937.14
  5. Step 5: Solve for x
    x = 212,071,980,937.14/418,274.38
  6. Step 6: Final answer
    x = 507,016.42

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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.