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Finding the Fourth Proportional to 384,965.20, 576,791.70 and 328,540.60

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Solution

The fourth proportional to 384,965.20, 576,791.70 and 328,540.60 is: 492,250.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,965.20 : 576,791.70 = 328,540.60 : x
  2. Step 2: Convert to fraction form
    384,965.20/576,791.70 = 328,540.60/x
  3. Step 3: Cross multiply
    384,965.20x = 576,791.70 × 328,540.60
  4. Step 4: Simplify right side
    384,965.20x = 189,499,491,193.02
  5. Step 5: Solve for x
    x = 189,499,491,193.02/384,965.20
  6. Step 6: Final answer
    x = 492,250.97

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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.