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Finding the Fourth Proportional to 418,128.66, 627,234.33 and 133,747.81

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Solution

The fourth proportional to 418,128.66, 627,234.33 and 133,747.81 is: 200,634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,128.66 : 627,234.33 = 133,747.81 : x
  2. Step 2: Convert to fraction form
    418,128.66/627,234.33 = 133,747.81/x
  3. Step 3: Cross multiply
    418,128.66x = 627,234.33 × 133,747.81
  4. Step 4: Simplify right side
    418,128.66x = 83,891,216,927.79
  5. Step 5: Solve for x
    x = 83,891,216,927.79/418,128.66
  6. Step 6: Final answer
    x = 200,634.94

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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.