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Finding the Fourth Proportional to 418,057.13, 627,098.72 and 198,918.97

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Solution

The fourth proportional to 418,057.13, 627,098.72 and 198,918.97 is: 298,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,057.13 : 627,098.72 = 198,918.97 : x
  2. Step 2: Convert to fraction form
    418,057.13/627,098.72 = 198,918.97/x
  3. Step 3: Cross multiply
    418,057.13x = 627,098.72 × 198,918.97
  4. Step 4: Simplify right side
    418,057.13x = 124,741,828,908.38
  5. Step 5: Solve for x
    x = 124,741,828,908.38/418,057.13
  6. Step 6: Final answer
    x = 298,384.64

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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.