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Finding the Fourth Proportional to 391,723.40, 587,604.30 and 205,099.40

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Solution

The fourth proportional to 391,723.40, 587,604.30 and 205,099.40 is: 307,659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,723.40 : 587,604.30 = 205,099.40 : x
  2. Step 2: Convert to fraction form
    391,723.40/587,604.30 = 205,099.40/x
  3. Step 3: Cross multiply
    391,723.40x = 587,604.30 × 205,099.40
  4. Step 4: Simplify right side
    391,723.40x = 120,517,289,367.42
  5. Step 5: Solve for x
    x = 120,517,289,367.42/391,723.40
  6. Step 6: Final answer
    x = 307,659.15

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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.