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Finding the Fourth Proportional to 378,968.46, 568,374.39 and 142,305.90

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Solution

The fourth proportional to 378,968.46, 568,374.39 and 142,305.90 is: 213,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,968.46 : 568,374.39 = 142,305.90 : x
  2. Step 2: Convert to fraction form
    378,968.46/568,374.39 = 142,305.90/x
  3. Step 3: Cross multiply
    378,968.46x = 568,374.39 × 142,305.90
  4. Step 4: Simplify right side
    378,968.46x = 80,883,029,105.90
  5. Step 5: Solve for x
    x = 80,883,029,105.90/378,968.46
  6. Step 6: Final answer
    x = 213,429.45

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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.