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Finding the Fourth Proportional to 512,112.26, 768,251.52 and 192,289.34

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Solution

The fourth proportional to 512,112.26, 768,251.52 and 192,289.34 is: 288,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,112.26 : 768,251.52 = 192,289.34 : x
  2. Step 2: Convert to fraction form
    512,112.26/768,251.52 = 192,289.34/x
  3. Step 3: Cross multiply
    512,112.26x = 768,251.52 × 192,289.34
  4. Step 4: Simplify right side
    512,112.26x = 147,726,577,734.80
  5. Step 5: Solve for x
    x = 147,726,577,734.80/512,112.26
  6. Step 6: Final answer
    x = 288,465.22

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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.