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Finding the Fourth Proportional to 418,127.26, 627,199.26 and 133,872.08

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Solution

The fourth proportional to 418,127.26, 627,199.26 and 133,872.08 is: 200,810.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,127.26 : 627,199.26 = 133,872.08 : x
  2. Step 2: Convert to fraction form
    418,127.26/627,199.26 = 133,872.08/x
  3. Step 3: Cross multiply
    418,127.26x = 627,199.26 × 133,872.08
  4. Step 4: Simplify right side
    418,127.26x = 83,964,469,510.66
  5. Step 5: Solve for x
    x = 83,964,469,510.66/418,127.26
  6. Step 6: Final answer
    x = 200,810.80

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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.