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Finding the Fourth Proportional to 259,704.90, 389,593.80 and 82,193.40

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Solution

The fourth proportional to 259,704.90, 389,593.80 and 82,193.40 is: 123,301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,704.90 : 389,593.80 = 82,193.40 : x
  2. Step 2: Convert to fraction form
    259,704.90/389,593.80 = 82,193.40/x
  3. Step 3: Cross multiply
    259,704.90x = 389,593.80 × 82,193.40
  4. Step 4: Simplify right side
    259,704.90x = 32,022,039,040.92
  5. Step 5: Solve for x
    x = 32,022,039,040.92/259,704.90
  6. Step 6: Final answer
    x = 123,301.64

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1.5x scale

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.