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Finding the Fourth Proportional to 256,238.20, 384,357.30 and 252,301.60

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Solution

The fourth proportional to 256,238.20, 384,357.30 and 252,301.60 is: 378,452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,238.20 : 384,357.30 = 252,301.60 : x
  2. Step 2: Convert to fraction form
    256,238.20/384,357.30 = 252,301.60/x
  3. Step 3: Cross multiply
    256,238.20x = 384,357.30 × 252,301.60
  4. Step 4: Simplify right side
    256,238.20x = 96,973,961,761.68
  5. Step 5: Solve for x
    x = 96,973,961,761.68/256,238.20
  6. Step 6: Final answer
    x = 378,452.40

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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.