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Finding the Fourth Proportional to 498,384, 687,769.92 and 272,029.50

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Solution

The fourth proportional to 498,384, 687,769.92 and 272,029.50 is: 375,400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,384 : 687,769.92 = 272,029.50 : x
  2. Step 2: Convert to fraction form
    498,384/687,769.92 = 272,029.50/x
  3. Step 3: Cross multiply
    498,384x = 687,769.92 × 272,029.50
  4. Step 4: Simplify right side
    498,384x = 187,093,707,452.64
  5. Step 5: Solve for x
    x = 187,093,707,452.64/498,384
  6. Step 6: Final answer
    x = 375,400.71

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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.