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Finding the Fourth Proportional to 266,407.27, 399,266.45 and 199,321.04

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Solution

The fourth proportional to 266,407.27, 399,266.45 and 199,321.04 is: 298,723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,407.27 : 399,266.45 = 199,321.04 : x
  2. Step 2: Convert to fraction form
    266,407.27/399,266.45 = 199,321.04/x
  3. Step 3: Cross multiply
    266,407.27x = 399,266.45 × 199,321.04
  4. Step 4: Simplify right side
    266,407.27x = 79,582,204,052.67
  5. Step 5: Solve for x
    x = 79,582,204,052.67/266,407.27
  6. Step 6: Final answer
    x = 298,723.85

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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.