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Finding the Fourth Proportional to 266,411.25, 399,814.11 and 126,170.28

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Solution

The fourth proportional to 266,411.25, 399,814.11 and 126,170.28 is: 189,348.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,411.25 : 399,814.11 = 126,170.28 : x
  2. Step 2: Convert to fraction form
    266,411.25/399,814.11 = 126,170.28/x
  3. Step 3: Cross multiply
    266,411.25x = 399,814.11 × 126,170.28
  4. Step 4: Simplify right side
    266,411.25x = 50,444,658,206.65
  5. Step 5: Solve for x
    x = 50,444,658,206.65/266,411.25
  6. Step 6: Final answer
    x = 189,348.83

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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.