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Finding the Fourth Proportional to 252,178.31, 378,193.65 and 207,694.73

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Solution

The fourth proportional to 252,178.31, 378,193.65 and 207,694.73 is: 311,481.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,178.31 : 378,193.65 = 207,694.73 : x
  2. Step 2: Convert to fraction form
    252,178.31/378,193.65 = 207,694.73/x
  3. Step 3: Cross multiply
    252,178.31x = 378,193.65 × 207,694.73
  4. Step 4: Simplify right side
    252,178.31x = 78,548,828,024.46
  5. Step 5: Solve for x
    x = 78,548,828,024.46/252,178.31
  6. Step 6: Final answer
    x = 311,481.30

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1.5x scale

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.