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Finding the Fourth Proportional to 409,976.10, 615,079.35 and 199,620.90

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Solution

The fourth proportional to 409,976.10, 615,079.35 and 199,620.90 is: 299,487.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,976.10 : 615,079.35 = 199,620.90 : x
  2. Step 2: Convert to fraction form
    409,976.10/615,079.35 = 199,620.90/x
  3. Step 3: Cross multiply
    409,976.10x = 615,079.35 × 199,620.90
  4. Step 4: Simplify right side
    409,976.10x = 122,782,693,418.42
  5. Step 5: Solve for x
    x = 122,782,693,418.42/409,976.10
  6. Step 6: Final answer
    x = 299,487.44

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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.