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Finding the Fourth Proportional to 777,868, 1,166,802 and 252,556

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Solution

The fourth proportional to 777,868, 1,166,802 and 252,556 is: 378,834

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,868 : 1,166,802 = 252,556 : x
  2. Step 2: Convert to fraction form
    777,868/1,166,802 = 252,556/x
  3. Step 3: Cross multiply
    777,868x = 1,166,802 × 252,556
  4. Step 4: Simplify right side
    777,868x = 294,682,845,912
  5. Step 5: Solve for x
    x = 294,682,845,912/777,868
  6. Step 6: Final answer
    x = 378,834

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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.