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Finding the Fourth Proportional to 777,852, 1,166,778 and 252,540

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Solution

The fourth proportional to 777,852, 1,166,778 and 252,540 is: 378,810

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,852 : 1,166,778 = 252,540 : x
  2. Step 2: Convert to fraction form
    777,852/1,166,778 = 252,540/x
  3. Step 3: Cross multiply
    777,852x = 1,166,778 × 252,540
  4. Step 4: Simplify right side
    777,852x = 294,658,116,120
  5. Step 5: Solve for x
    x = 294,658,116,120/777,852
  6. Step 6: Final answer
    x = 378,810

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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.