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Finding the Fourth Proportional to 499,721.88, 749,593.76 and 200,343.45

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Solution

The fourth proportional to 499,721.88, 749,593.76 and 200,343.45 is: 300,519.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,721.88 : 749,593.76 = 200,343.45 : x
  2. Step 2: Convert to fraction form
    499,721.88/749,593.76 = 200,343.45/x
  3. Step 3: Cross multiply
    499,721.88x = 749,593.76 × 200,343.45
  4. Step 4: Simplify right side
    499,721.88x = 150,176,198,975.16
  5. Step 5: Solve for x
    x = 150,176,198,975.16/499,721.88
  6. Step 6: Final answer
    x = 300,519.56

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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.