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Finding the Fourth Proportional to 361,800, 499,290.24 and 200,662.08

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Solution

The fourth proportional to 361,800, 499,290.24 and 200,662.08 is: 276,917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,800 : 499,290.24 = 200,662.08 : x
  2. Step 2: Convert to fraction form
    361,800/499,290.24 = 200,662.08/x
  3. Step 3: Cross multiply
    361,800x = 499,290.24 × 200,662.08
  4. Step 4: Simplify right side
    361,800x = 100,188,618,082.10
  5. Step 5: Solve for x
    x = 100,188,618,082.10/361,800
  6. Step 6: Final answer
    x = 276,917.13

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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.