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Finding the Fourth Proportional to 777,878, 1,166,817 and 252,566

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Solution

The fourth proportional to 777,878, 1,166,817 and 252,566 is: 378,849

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,878 : 1,166,817 = 252,566 : x
  2. Step 2: Convert to fraction form
    777,878/1,166,817 = 252,566/x
  3. Step 3: Cross multiply
    777,878x = 1,166,817 × 252,566
  4. Step 4: Simplify right side
    777,878x = 294,698,302,422
  5. Step 5: Solve for x
    x = 294,698,302,422/777,878
  6. Step 6: Final answer
    x = 378,849

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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.