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Finding the Fourth Proportional to 378,992.24, 568,188.48 and 142,308.56

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Solution

The fourth proportional to 378,992.24, 568,188.48 and 142,308.56 is: 213,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,992.24 : 568,188.48 = 142,308.56 : x
  2. Step 2: Convert to fraction form
    378,992.24/568,188.48 = 142,308.56/x
  3. Step 3: Cross multiply
    378,992.24x = 568,188.48 × 142,308.56
  4. Step 4: Simplify right side
    378,992.24x = 80,858,084,397.39
  5. Step 5: Solve for x
    x = 80,858,084,397.39/378,992.24
  6. Step 6: Final answer
    x = 213,350.24

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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.