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Finding the Fourth Proportional to 378,997.57, 568,306.18 and 126,189.01

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Solution

The fourth proportional to 378,997.57, 568,306.18 and 126,189.01 is: 189,220.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,997.57 : 568,306.18 = 126,189.01 : x
  2. Step 2: Convert to fraction form
    378,997.57/568,306.18 = 126,189.01/x
  3. Step 3: Cross multiply
    378,997.57x = 568,306.18 × 126,189.01
  4. Step 4: Simplify right side
    378,997.57x = 71,713,994,231.08
  5. Step 5: Solve for x
    x = 71,713,994,231.08/378,997.57
  6. Step 6: Final answer
    x = 189,220.20

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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.