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Finding the Fourth Proportional to 499,306.60, 748,963.10 and 199,812.20

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Solution

The fourth proportional to 499,306.60, 748,963.10 and 199,812.20 is: 299,719.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,306.60 : 748,963.10 = 199,812.20 : x
  2. Step 2: Convert to fraction form
    499,306.60/748,963.10 = 199,812.20/x
  3. Step 3: Cross multiply
    499,306.60x = 748,963.10 × 199,812.20
  4. Step 4: Simplify right side
    499,306.60x = 149,651,964,729.82
  5. Step 5: Solve for x
    x = 149,651,964,729.82/499,306.60
  6. Step 6: Final answer
    x = 299,719.58

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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.