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Finding the Fourth Proportional to 777,882, 1,166,823 and 252,570

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Solution

The fourth proportional to 777,882, 1,166,823 and 252,570 is: 378,855

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,882 : 1,166,823 = 252,570 : x
  2. Step 2: Convert to fraction form
    777,882/1,166,823 = 252,570/x
  3. Step 3: Cross multiply
    777,882x = 1,166,823 × 252,570
  4. Step 4: Simplify right side
    777,882x = 294,704,485,110
  5. Step 5: Solve for x
    x = 294,704,485,110/777,882
  6. Step 6: Final answer
    x = 378,855

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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.