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Finding the Fourth Proportional to 543,679.20, 814,716.90 and 394,234.20

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Solution

The fourth proportional to 543,679.20, 814,716.90 and 394,234.20 is: 590,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,679.20 : 814,716.90 = 394,234.20 : x
  2. Step 2: Convert to fraction form
    543,679.20/814,716.90 = 394,234.20/x
  3. Step 3: Cross multiply
    543,679.20x = 814,716.90 × 394,234.20
  4. Step 4: Simplify right side
    543,679.20x = 321,189,265,297.98
  5. Step 5: Solve for x
    x = 321,189,265,297.98/543,679.20
  6. Step 6: Final answer
    x = 590,769.82

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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.