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Finding the Fourth Proportional to 266,408.40, 399,809.70 and 126,167.28

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Solution

The fourth proportional to 266,408.40, 399,809.70 and 126,167.28 is: 189,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,408.40 : 399,809.70 = 126,167.28 : x
  2. Step 2: Convert to fraction form
    266,408.40/399,809.70 = 126,167.28/x
  3. Step 3: Cross multiply
    266,408.40x = 399,809.70 × 126,167.28
  4. Step 4: Simplify right side
    266,408.40x = 50,442,902,366.62
  5. Step 5: Solve for x
    x = 50,442,902,366.62/266,408.40
  6. Step 6: Final answer
    x = 189,344.26

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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.