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Finding the Fourth Proportional to 391,138.20, 587,420.10 and 342,149.40

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Solution

The fourth proportional to 391,138.20, 587,420.10 and 342,149.40 is: 513,847.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,138.20 : 587,420.10 = 342,149.40 : x
  2. Step 2: Convert to fraction form
    391,138.20/587,420.10 = 342,149.40/x
  3. Step 3: Cross multiply
    391,138.20x = 587,420.10 × 342,149.40
  4. Step 4: Simplify right side
    391,138.20x = 200,985,434,762.94
  5. Step 5: Solve for x
    x = 200,985,434,762.94/391,138.20
  6. Step 6: Final answer
    x = 513,847.62

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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.