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Finding the Fourth Proportional to 259,604.38, 389,428.44 and 82,107.46

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Solution

The fourth proportional to 259,604.38, 389,428.44 and 82,107.46 is: 123,168.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,604.38 : 389,428.44 = 82,107.46 : x
  2. Step 2: Convert to fraction form
    259,604.38/389,428.44 = 82,107.46/x
  3. Step 3: Cross multiply
    259,604.38x = 389,428.44 × 82,107.46
  4. Step 4: Simplify right side
    259,604.38x = 31,974,980,060.16
  5. Step 5: Solve for x
    x = 31,974,980,060.16/259,604.38
  6. Step 6: Final answer
    x = 123,168.11

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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.