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Finding the Fourth Proportional to 381,978.20, 572,548.80 and 192,135.80

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Solution

The fourth proportional to 381,978.20, 572,548.80 and 192,135.80 is: 287,993.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,978.20 : 572,548.80 = 192,135.80 : x
  2. Step 2: Convert to fraction form
    381,978.20/572,548.80 = 192,135.80/x
  3. Step 3: Cross multiply
    381,978.20x = 572,548.80 × 192,135.80
  4. Step 4: Simplify right side
    381,978.20x = 110,007,121,727.04
  5. Step 5: Solve for x
    x = 110,007,121,727.04/381,978.20
  6. Step 6: Final answer
    x = 287,993.19

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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.