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Finding the Fourth Proportional to 378,958.64, 568,304.52 and 126,170.48

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Solution

The fourth proportional to 378,958.64, 568,304.52 and 126,170.48 is: 189,211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,958.64 : 568,304.52 = 126,170.48 : x
  2. Step 2: Convert to fraction form
    378,958.64/568,304.52 = 126,170.48/x
  3. Step 3: Cross multiply
    378,958.64x = 568,304.52 × 126,170.48
  4. Step 4: Simplify right side
    378,958.64x = 71,703,254,074.57
  5. Step 5: Solve for x
    x = 71,703,254,074.57/378,958.64
  6. Step 6: Final answer
    x = 189,211.29

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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.