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Finding the Fourth Proportional to 259,728.64, 389,541.12 and 82,205.44

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Solution

The fourth proportional to 259,728.64, 389,541.12 and 82,205.44 is: 123,291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,728.64 : 389,541.12 = 82,205.44 : x
  2. Step 2: Convert to fraction form
    259,728.64/389,541.12 = 82,205.44/x
  3. Step 3: Cross multiply
    259,728.64x = 389,541.12 × 82,205.44
  4. Step 4: Simplify right side
    259,728.64x = 32,022,399,167.69
  5. Step 5: Solve for x
    x = 32,022,399,167.69/259,728.64
  6. Step 6: Final answer
    x = 123,291.75

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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.