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Finding the Fourth Proportional to 498,395.28, 687,761.52 and 283,515.20

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Solution

The fourth proportional to 498,395.28, 687,761.52 and 283,515.20 is: 391,237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,395.28 : 687,761.52 = 283,515.20 : x
  2. Step 2: Convert to fraction form
    498,395.28/687,761.52 = 283,515.20/x
  3. Step 3: Cross multiply
    498,395.28x = 687,761.52 × 283,515.20
  4. Step 4: Simplify right side
    498,395.28x = 194,990,844,895.10
  5. Step 5: Solve for x
    x = 194,990,844,895.10/498,395.28
  6. Step 6: Final answer
    x = 391,237.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.