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Finding the Fourth Proportional to 777,880, 1,166,820 and 252,568

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Solution

The fourth proportional to 777,880, 1,166,820 and 252,568 is: 378,852

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,880 : 1,166,820 = 252,568 : x
  2. Step 2: Convert to fraction form
    777,880/1,166,820 = 252,568/x
  3. Step 3: Cross multiply
    777,880x = 1,166,820 × 252,568
  4. Step 4: Simplify right side
    777,880x = 294,701,393,760
  5. Step 5: Solve for x
    x = 294,701,393,760/777,880
  6. Step 6: Final answer
    x = 378,852

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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.