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Finding the Fourth Proportional to 260,711.88, 391,722.92 and 165,984.36

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Solution

The fourth proportional to 260,711.88, 391,722.92 and 165,984.36 is: 249,393.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,711.88 : 391,722.92 = 165,984.36 : x
  2. Step 2: Convert to fraction form
    260,711.88/391,722.92 = 165,984.36/x
  3. Step 3: Cross multiply
    260,711.88x = 391,722.92 × 165,984.36
  4. Step 4: Simplify right side
    260,711.88x = 65,019,878,173.53
  5. Step 5: Solve for x
    x = 65,019,878,173.53/260,711.88
  6. Step 6: Final answer
    x = 249,393.61

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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.