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Finding the Fourth Proportional to 378,957.89, 568,313.69 and 126,170.46

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Solution

The fourth proportional to 378,957.89, 568,313.69 and 126,170.46 is: 189,214.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,957.89 : 568,313.69 = 126,170.46 : x
  2. Step 2: Convert to fraction form
    378,957.89/568,313.69 = 126,170.46/x
  3. Step 3: Cross multiply
    378,957.89x = 568,313.69 × 126,170.46
  4. Step 4: Simplify right side
    378,957.89x = 71,704,399,060.75
  5. Step 5: Solve for x
    x = 71,704,399,060.75/378,957.89
  6. Step 6: Final answer
    x = 189,214.69

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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.