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Finding the Fourth Proportional to 266,405.96, 399,264.47 and 199,319.73

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Solution

The fourth proportional to 266,405.96, 399,264.47 and 199,319.73 is: 298,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,405.96 : 399,264.47 = 199,319.73 : x
  2. Step 2: Convert to fraction form
    266,405.96/399,264.47 = 199,319.73/x
  3. Step 3: Cross multiply
    266,405.96x = 399,264.47 × 199,319.73
  4. Step 4: Simplify right side
    266,405.96x = 79,581,286,857.29
  5. Step 5: Solve for x
    x = 79,581,286,857.29/266,405.96
  6. Step 6: Final answer
    x = 298,721.88

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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.