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Finding the Fourth Proportional to 259,718.40, 389,614.05 and 82,206.90

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Solution

The fourth proportional to 259,718.40, 389,614.05 and 82,206.90 is: 123,321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,718.40 : 389,614.05 = 82,206.90 : x
  2. Step 2: Convert to fraction form
    259,718.40/389,614.05 = 82,206.90/x
  3. Step 3: Cross multiply
    259,718.40x = 389,614.05 × 82,206.90
  4. Step 4: Simplify right side
    259,718.40x = 32,028,963,246.95
  5. Step 5: Solve for x
    x = 32,028,963,246.95/259,718.40
  6. Step 6: Final answer
    x = 123,321.89

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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.