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Finding the Fourth Proportional to 378,767.93, 568,242.11 and 142,112.66

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Solution

The fourth proportional to 378,767.93, 568,242.11 and 142,112.66 is: 213,202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,767.93 : 568,242.11 = 142,112.66 : x
  2. Step 2: Convert to fraction form
    378,767.93/568,242.11 = 142,112.66/x
  3. Step 3: Cross multiply
    378,767.93x = 568,242.11 × 142,112.66
  4. Step 4: Simplify right side
    378,767.93x = 80,754,397,776.11
  5. Step 5: Solve for x
    x = 80,754,397,776.11/378,767.93
  6. Step 6: Final answer
    x = 213,202.84

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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.