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Finding the Fourth Proportional to 378,793.28, 522,924 and 235,599.52

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Solution

The fourth proportional to 378,793.28, 522,924 and 235,599.52 is: 325,245.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,793.28 : 522,924 = 235,599.52 : x
  2. Step 2: Convert to fraction form
    378,793.28/522,924 = 235,599.52/x
  3. Step 3: Cross multiply
    378,793.28x = 522,924 × 235,599.52
  4. Step 4: Simplify right side
    378,793.28x = 123,200,643,396.48
  5. Step 5: Solve for x
    x = 123,200,643,396.48/378,793.28
  6. Step 6: Final answer
    x = 325,245.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.