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Finding the Fourth Proportional to 418,434.40, 627,648.72 and 137,974.24

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Solution

The fourth proportional to 418,434.40, 627,648.72 and 137,974.24 is: 206,960.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,434.40 : 627,648.72 = 137,974.24 : x
  2. Step 2: Convert to fraction form
    418,434.40/627,648.72 = 137,974.24/x
  3. Step 3: Cross multiply
    418,434.40x = 627,648.72 × 137,974.24
  4. Step 4: Simplify right side
    418,434.40x = 86,599,355,128.97
  5. Step 5: Solve for x
    x = 86,599,355,128.97/418,434.40
  6. Step 6: Final answer
    x = 206,960.41

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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.