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Finding the Fourth Proportional to 442,863.20, 664,381.20 and 190,143.20

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Solution

The fourth proportional to 442,863.20, 664,381.20 and 190,143.20 is: 285,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,863.20 : 664,381.20 = 190,143.20 : x
  2. Step 2: Convert to fraction form
    442,863.20/664,381.20 = 190,143.20/x
  3. Step 3: Cross multiply
    442,863.20x = 664,381.20 × 190,143.20
  4. Step 4: Simplify right side
    442,863.20x = 126,327,567,387.84
  5. Step 5: Solve for x
    x = 126,327,567,387.84/442,863.20
  6. Step 6: Final answer
    x = 285,251.90

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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.