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Finding the Fourth Proportional to 418,036.82, 627,221.41 and 133,771.16

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Solution

The fourth proportional to 418,036.82, 627,221.41 and 133,771.16 is: 200,709.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,036.82 : 627,221.41 = 133,771.16 : x
  2. Step 2: Convert to fraction form
    418,036.82/627,221.41 = 133,771.16/x
  3. Step 3: Cross multiply
    418,036.82x = 627,221.41 × 133,771.16
  4. Step 4: Simplify right side
    418,036.82x = 83,904,136,826.16
  5. Step 5: Solve for x
    x = 83,904,136,826.16/418,036.82
  6. Step 6: Final answer
    x = 200,709.92

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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.