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Finding the Fourth Proportional to 543,679.70, 814,717.65 and 394,234.70

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Solution

The fourth proportional to 543,679.70, 814,717.65 and 394,234.70 is: 590,770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,679.70 : 814,717.65 = 394,234.70 : x
  2. Step 2: Convert to fraction form
    543,679.70/814,717.65 = 394,234.70/x
  3. Step 3: Cross multiply
    543,679.70x = 814,717.65 × 394,234.70
  4. Step 4: Simplify right side
    543,679.70x = 321,189,968,332.46
  5. Step 5: Solve for x
    x = 321,189,968,332.46/543,679.70
  6. Step 6: Final answer
    x = 590,770.57

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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.