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Finding the Fourth Proportional to 270,996.52, 406,408.67 and 253,306.43

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Solution

The fourth proportional to 270,996.52, 406,408.67 and 253,306.43 is: 379,879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,996.52 : 406,408.67 = 253,306.43 : x
  2. Step 2: Convert to fraction form
    270,996.52/406,408.67 = 253,306.43/x
  3. Step 3: Cross multiply
    270,996.52x = 406,408.67 × 253,306.43
  4. Step 4: Simplify right side
    270,996.52x = 102,945,929,318.75
  5. Step 5: Solve for x
    x = 102,945,929,318.75/270,996.52
  6. Step 6: Final answer
    x = 379,879.16

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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.