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Finding the Fourth Proportional to 498,497.28, 687,922.74 and 272,142.78

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Solution

The fourth proportional to 498,497.28, 687,922.74 and 272,142.78 is: 375,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,497.28 : 687,922.74 = 272,142.78 : x
  2. Step 2: Convert to fraction form
    498,497.28/687,922.74 = 272,142.78/x
  3. Step 3: Cross multiply
    498,497.28x = 687,922.74 × 272,142.78
  4. Step 4: Simplify right side
    498,497.28x = 187,213,206,888.82
  5. Step 5: Solve for x
    x = 187,213,206,888.82/498,497.28
  6. Step 6: Final answer
    x = 375,555.12

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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.