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Finding the Fourth Proportional to 266,476.60, 398,840.10 and 206,990.20

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Solution

The fourth proportional to 266,476.60, 398,840.10 and 206,990.20 is: 309,805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,476.60 : 398,840.10 = 206,990.20 : x
  2. Step 2: Convert to fraction form
    266,476.60/398,840.10 = 206,990.20/x
  3. Step 3: Cross multiply
    266,476.60x = 398,840.10 × 206,990.20
  4. Step 4: Simplify right side
    266,476.60x = 82,555,992,067.02
  5. Step 5: Solve for x
    x = 82,555,992,067.02/266,476.60
  6. Step 6: Final answer
    x = 309,805.78

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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.