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Finding the Fourth Proportional to 259,657.40, 389,486.10 and 82,218.80

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Solution

The fourth proportional to 259,657.40, 389,486.10 and 82,218.80 is: 123,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,657.40 : 389,486.10 = 82,218.80 : x
  2. Step 2: Convert to fraction form
    259,657.40/389,486.10 = 82,218.80/x
  3. Step 3: Cross multiply
    259,657.40x = 389,486.10 × 82,218.80
  4. Step 4: Simplify right side
    259,657.40x = 32,023,079,758.68
  5. Step 5: Solve for x
    x = 32,023,079,758.68/259,657.40
  6. Step 6: Final answer
    x = 123,328.20

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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.