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Finding the Fourth Proportional to 259,804.13, 389,717.53 and 82,324.22

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Solution

The fourth proportional to 259,804.13, 389,717.53 and 82,324.22 is: 123,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,804.13 : 389,717.53 = 82,324.22 : x
  2. Step 2: Convert to fraction form
    259,804.13/389,717.53 = 82,324.22/x
  3. Step 3: Cross multiply
    259,804.13x = 389,717.53 × 82,324.22
  4. Step 4: Simplify right side
    259,804.13x = 32,083,189,523.18
  5. Step 5: Solve for x
    x = 32,083,189,523.18/259,804.13
  6. Step 6: Final answer
    x = 123,489.92

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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.