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Finding the Fourth Proportional to 259,910.58, 389,914.48 and 82,369.92

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Solution

The fourth proportional to 259,910.58, 389,914.48 and 82,369.92 is: 123,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,910.58 : 389,914.48 = 82,369.92 : x
  2. Step 2: Convert to fraction form
    259,910.58/389,914.48 = 82,369.92/x
  3. Step 3: Cross multiply
    259,910.58x = 389,914.48 × 82,369.92
  4. Step 4: Simplify right side
    259,910.58x = 32,117,224,524.44
  5. Step 5: Solve for x
    x = 32,117,224,524.44/259,910.58
  6. Step 6: Final answer
    x = 123,570.29

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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.