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Finding the Fourth Proportional to 259,697.97, 389,561.13 and 82,191.74

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Solution

The fourth proportional to 259,697.97, 389,561.13 and 82,191.74 is: 123,292.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,697.97 : 389,561.13 = 82,191.74 : x
  2. Step 2: Convert to fraction form
    259,697.97/389,561.13 = 82,191.74/x
  3. Step 3: Cross multiply
    259,697.97x = 389,561.13 × 82,191.74
  4. Step 4: Simplify right side
    259,697.97x = 32,018,705,163.26
  5. Step 5: Solve for x
    x = 32,018,705,163.26/259,697.97
  6. Step 6: Final answer
    x = 123,292.09

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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.