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Finding the Fourth Proportional to 403,752.28, 605,722.11 and 137,515.10

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Solution

The fourth proportional to 403,752.28, 605,722.11 and 137,515.10 is: 206,304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,752.28 : 605,722.11 = 137,515.10 : x
  2. Step 2: Convert to fraction form
    403,752.28/605,722.11 = 137,515.10/x
  3. Step 3: Cross multiply
    403,752.28x = 605,722.11 × 137,515.10
  4. Step 4: Simplify right side
    403,752.28x = 83,295,936,528.86
  5. Step 5: Solve for x
    x = 83,295,936,528.86/403,752.28
  6. Step 6: Final answer
    x = 206,304.56

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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.