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Finding the Fourth Proportional to 391,765.20, 587,647.80 and 192,213.60

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Solution

The fourth proportional to 391,765.20, 587,647.80 and 192,213.60 is: 288,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,765.20 : 587,647.80 = 192,213.60 : x
  2. Step 2: Convert to fraction form
    391,765.20/587,647.80 = 192,213.60/x
  3. Step 3: Cross multiply
    391,765.20x = 587,647.80 × 192,213.60
  4. Step 4: Simplify right side
    391,765.20x = 112,953,899,170.08
  5. Step 5: Solve for x
    x = 112,953,899,170.08/391,765.20
  6. Step 6: Final answer
    x = 288,320.40

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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.