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Finding the Fourth Proportional to 391,014.70, 587,234.85 and 342,025.90

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Solution

The fourth proportional to 391,014.70, 587,234.85 and 342,025.90 is: 513,662.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,014.70 : 587,234.85 = 342,025.90 : x
  2. Step 2: Convert to fraction form
    391,014.70/587,234.85 = 342,025.90/x
  3. Step 3: Cross multiply
    391,014.70x = 587,234.85 × 342,025.90
  4. Step 4: Simplify right side
    391,014.70x = 200,849,528,082.62
  5. Step 5: Solve for x
    x = 200,849,528,082.62/391,014.70
  6. Step 6: Final answer
    x = 513,662.35

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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.