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Finding the Fourth Proportional to 403,754.28, 605,725.11 and 137,517.10

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Solution

The fourth proportional to 403,754.28, 605,725.11 and 137,517.10 is: 206,307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,754.28 : 605,725.11 = 137,517.10 : x
  2. Step 2: Convert to fraction form
    403,754.28/605,725.11 = 137,517.10/x
  3. Step 3: Cross multiply
    403,754.28x = 605,725.11 × 137,517.10
  4. Step 4: Simplify right side
    403,754.28x = 83,297,560,524.38
  5. Step 5: Solve for x
    x = 83,297,560,524.38/403,754.28
  6. Step 6: Final answer
    x = 206,307.56

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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.