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Finding the Fourth Proportional to 378,788.52, 568,035.12 and 142,002

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Solution

The fourth proportional to 378,788.52, 568,035.12 and 142,002 is: 212,947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,788.52 : 568,035.12 = 142,002 : x
  2. Step 2: Convert to fraction form
    378,788.52/568,035.12 = 142,002/x
  3. Step 3: Cross multiply
    378,788.52x = 568,035.12 × 142,002
  4. Step 4: Simplify right side
    378,788.52x = 80,662,123,110.24
  5. Step 5: Solve for x
    x = 80,662,123,110.24/378,788.52
  6. Step 6: Final answer
    x = 212,947.64

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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.