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Finding the Fourth Proportional to 361,084.46, 498,301.80 and 199,939.20

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Solution

The fourth proportional to 361,084.46, 498,301.80 and 199,939.20 is: 275,919.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,084.46 : 498,301.80 = 199,939.20 : x
  2. Step 2: Convert to fraction form
    361,084.46/498,301.80 = 199,939.20/x
  3. Step 3: Cross multiply
    361,084.46x = 498,301.80 × 199,939.20
  4. Step 4: Simplify right side
    361,084.46x = 99,630,063,250.56
  5. Step 5: Solve for x
    x = 99,630,063,250.56/361,084.46
  6. Step 6: Final answer
    x = 275,919.00

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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.