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Finding the Fourth Proportional to 378,997.70, 568,306.37 and 126,189.14

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Solution

The fourth proportional to 378,997.70, 568,306.37 and 126,189.14 is: 189,220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,997.70 : 568,306.37 = 126,189.14 : x
  2. Step 2: Convert to fraction form
    378,997.70/568,306.37 = 126,189.14/x
  3. Step 3: Cross multiply
    378,997.70x = 568,306.37 × 126,189.14
  4. Step 4: Simplify right side
    378,997.70x = 71,714,089,560.76
  5. Step 5: Solve for x
    x = 71,714,089,560.76/378,997.70
  6. Step 6: Final answer
    x = 189,220.38

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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.