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Finding the Fourth Proportional to 259,909.85, 389,047.99 and 165,246.92

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Solution

The fourth proportional to 259,909.85, 389,047.99 and 165,246.92 is: 247,351.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,909.85 : 389,047.99 = 165,246.92 : x
  2. Step 2: Convert to fraction form
    259,909.85/389,047.99 = 165,246.92/x
  3. Step 3: Cross multiply
    259,909.85x = 389,047.99 × 165,246.92
  4. Step 4: Simplify right side
    259,909.85x = 64,288,982,079.69
  5. Step 5: Solve for x
    x = 64,288,982,079.69/259,909.85
  6. Step 6: Final answer
    x = 247,351.08

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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.