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Finding the Fourth Proportional to 777,876, 1,166,814 and 252,564

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Solution

The fourth proportional to 777,876, 1,166,814 and 252,564 is: 378,846

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,876 : 1,166,814 = 252,564 : x
  2. Step 2: Convert to fraction form
    777,876/1,166,814 = 252,564/x
  3. Step 3: Cross multiply
    777,876x = 1,166,814 × 252,564
  4. Step 4: Simplify right side
    777,876x = 294,695,211,096
  5. Step 5: Solve for x
    x = 294,695,211,096/777,876
  6. Step 6: Final answer
    x = 378,846

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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.