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Finding the Fourth Proportional to 512,974.80, 769,416.60 and 228,679.38

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Solution

The fourth proportional to 512,974.80, 769,416.60 and 228,679.38 is: 342,998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,974.80 : 769,416.60 = 228,679.38 : x
  2. Step 2: Convert to fraction form
    512,974.80/769,416.60 = 228,679.38/x
  3. Step 3: Cross multiply
    512,974.80x = 769,416.60 × 228,679.38
  4. Step 4: Simplify right side
    512,974.80x = 175,949,711,049.71
  5. Step 5: Solve for x
    x = 175,949,711,049.71/512,974.80
  6. Step 6: Final answer
    x = 342,998.74

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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.