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Finding the Fourth Proportional to 398,500.56, 597,634.20 and 328,205.52

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Solution

The fourth proportional to 398,500.56, 597,634.20 and 328,205.52 is: 492,212.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,500.56 : 597,634.20 = 328,205.52 : x
  2. Step 2: Convert to fraction form
    398,500.56/597,634.20 = 328,205.52/x
  3. Step 3: Cross multiply
    398,500.56x = 597,634.20 × 328,205.52
  4. Step 4: Simplify right side
    398,500.56x = 196,146,843,380.78
  5. Step 5: Solve for x
    x = 196,146,843,380.78/398,500.56
  6. Step 6: Final answer
    x = 492,212.22

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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.