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Finding the Fourth Proportional to 259,810.38, 389,726.49 and 82,313.46

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Solution

The fourth proportional to 259,810.38, 389,726.49 and 82,313.46 is: 123,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,810.38 : 389,726.49 = 82,313.46 : x
  2. Step 2: Convert to fraction form
    259,810.38/389,726.49 = 82,313.46/x
  3. Step 3: Cross multiply
    259,810.38x = 389,726.49 × 82,313.46
  4. Step 4: Simplify right side
    259,810.38x = 32,079,735,845.56
  5. Step 5: Solve for x
    x = 32,079,735,845.56/259,810.38
  6. Step 6: Final answer
    x = 123,473.65

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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.