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Finding the Fourth Proportional to 361,791.12, 499,246.92 and 200,631

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Solution

The fourth proportional to 361,791.12, 499,246.92 and 200,631 is: 276,857.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,791.12 : 499,246.92 = 200,631 : x
  2. Step 2: Convert to fraction form
    361,791.12/499,246.92 = 200,631/x
  3. Step 3: Cross multiply
    361,791.12x = 499,246.92 × 200,631
  4. Step 4: Simplify right side
    361,791.12x = 100,164,408,806.52
  5. Step 5: Solve for x
    x = 100,164,408,806.52/361,791.12
  6. Step 6: Final answer
    x = 276,857.01

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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.