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Finding the Fourth Proportional to 252,517.90, 378,288.42 and 211,504.48

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Solution

The fourth proportional to 252,517.90, 378,288.42 and 211,504.48 is: 316,847.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,517.90 : 378,288.42 = 211,504.48 : x
  2. Step 2: Convert to fraction form
    252,517.90/378,288.42 = 211,504.48/x
  3. Step 3: Cross multiply
    252,517.90x = 378,288.42 × 211,504.48
  4. Step 4: Simplify right side
    252,517.90x = 80,009,695,562.12
  5. Step 5: Solve for x
    x = 80,009,695,562.12/252,517.90
  6. Step 6: Final answer
    x = 316,847.62

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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.