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Finding the Fourth Proportional to 378,734.64, 522,843.20 and 235,540.82

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Solution

The fourth proportional to 378,734.64, 522,843.20 and 235,540.82 is: 325,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,734.64 : 522,843.20 = 235,540.82 : x
  2. Step 2: Convert to fraction form
    378,734.64/522,843.20 = 235,540.82/x
  3. Step 3: Cross multiply
    378,734.64x = 522,843.20 × 235,540.82
  4. Step 4: Simplify right side
    378,734.64x = 123,150,916,059.42
  5. Step 5: Solve for x
    x = 123,150,916,059.42/378,734.64
  6. Step 6: Final answer
    x = 325,164.12

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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.