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Finding the Fourth Proportional to 418,480.75, 627,721.43 and 137,998

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Solution

The fourth proportional to 418,480.75, 627,721.43 and 137,998 is: 206,997.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,480.75 : 627,721.43 = 137,998 : x
  2. Step 2: Convert to fraction form
    418,480.75/627,721.43 = 137,998/x
  3. Step 3: Cross multiply
    418,480.75x = 627,721.43 × 137,998
  4. Step 4: Simplify right side
    418,480.75x = 86,624,301,897.14
  5. Step 5: Solve for x
    x = 86,624,301,897.14/418,480.75
  6. Step 6: Final answer
    x = 206,997.10

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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.