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Finding the Fourth Proportional to 259,810.20, 389,715.30 and 165,331.80

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Solution

The fourth proportional to 259,810.20, 389,715.30 and 165,331.80 is: 247,997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,810.20 : 389,715.30 = 165,331.80 : x
  2. Step 2: Convert to fraction form
    259,810.20/389,715.30 = 165,331.80/x
  3. Step 3: Cross multiply
    259,810.20x = 389,715.30 × 165,331.80
  4. Step 4: Simplify right side
    259,810.20x = 64,432,332,036.54
  5. Step 5: Solve for x
    x = 64,432,332,036.54/259,810.20
  6. Step 6: Final answer
    x = 247,997.70

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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.