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Finding the Fourth Proportional to 391,880.32, 587,734.08 and 192,002.56

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Solution

The fourth proportional to 391,880.32, 587,734.08 and 192,002.56 is: 287,961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,880.32 : 587,734.08 = 192,002.56 : x
  2. Step 2: Convert to fraction form
    391,880.32/587,734.08 = 192,002.56/x
  3. Step 3: Cross multiply
    391,880.32x = 587,734.08 × 192,002.56
  4. Step 4: Simplify right side
    391,880.32x = 112,846,447,959.25
  5. Step 5: Solve for x
    x = 112,846,447,959.25/391,880.32
  6. Step 6: Final answer
    x = 287,961.51

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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.