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Finding the Fourth Proportional to 252,438.20, 378,001.20 and 199,512.80

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Solution

The fourth proportional to 252,438.20, 378,001.20 and 199,512.80 is: 298,750.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,438.20 : 378,001.20 = 199,512.80 : x
  2. Step 2: Convert to fraction form
    252,438.20/378,001.20 = 199,512.80/x
  3. Step 3: Cross multiply
    252,438.20x = 378,001.20 × 199,512.80
  4. Step 4: Simplify right side
    252,438.20x = 75,416,077,815.36
  5. Step 5: Solve for x
    x = 75,416,077,815.36/252,438.20
  6. Step 6: Final answer
    x = 298,750.66

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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.