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Finding the Fourth Proportional to 259,859.60, 389,754.77 and 82,384.55

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Solution

The fourth proportional to 259,859.60, 389,754.77 and 82,384.55 is: 123,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,859.60 : 389,754.77 = 82,384.55 : x
  2. Step 2: Convert to fraction form
    259,859.60/389,754.77 = 82,384.55/x
  3. Step 3: Cross multiply
    259,859.60x = 389,754.77 × 82,384.55
  4. Step 4: Simplify right side
    259,859.60x = 32,109,771,336.80
  5. Step 5: Solve for x
    x = 32,109,771,336.80/259,859.60
  6. Step 6: Final answer
    x = 123,565.85

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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.