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Finding the Fourth Proportional to 289,766.20, 434,843.70 and 171,311.80

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Solution

The fourth proportional to 289,766.20, 434,843.70 and 171,311.80 is: 257,082.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,766.20 : 434,843.70 = 171,311.80 : x
  2. Step 2: Convert to fraction form
    289,766.20/434,843.70 = 171,311.80/x
  3. Step 3: Cross multiply
    289,766.20x = 434,843.70 × 171,311.80
  4. Step 4: Simplify right side
    289,766.20x = 74,493,856,965.66
  5. Step 5: Solve for x
    x = 74,493,856,965.66/289,766.20
  6. Step 6: Final answer
    x = 257,082.63

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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.