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Finding the Fourth Proportional to 378,661.44, 568,285.92 and 142,219.20

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Solution

The fourth proportional to 378,661.44, 568,285.92 and 142,219.20 is: 213,439.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,661.44 : 568,285.92 = 142,219.20 : x
  2. Step 2: Convert to fraction form
    378,661.44/568,285.92 = 142,219.20/x
  3. Step 3: Cross multiply
    378,661.44x = 568,285.92 × 142,219.20
  4. Step 4: Simplify right side
    378,661.44x = 80,821,168,913.66
  5. Step 5: Solve for x
    x = 80,821,168,913.66/378,661.44
  6. Step 6: Final answer
    x = 213,439.13

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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.