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Finding the Fourth Proportional to 498,265.92, 687,571.20 and 294,306.48

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Solution

The fourth proportional to 498,265.92, 687,571.20 and 294,306.48 is: 406,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,265.92 : 687,571.20 = 294,306.48 : x
  2. Step 2: Convert to fraction form
    498,265.92/687,571.20 = 294,306.48/x
  3. Step 3: Cross multiply
    498,265.92x = 687,571.20 × 294,306.48
  4. Step 4: Simplify right side
    498,265.92x = 202,356,659,621.38
  5. Step 5: Solve for x
    x = 202,356,659,621.38/498,265.92
  6. Step 6: Final answer
    x = 406,121.81

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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.