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Finding the Fourth Proportional to 256,791.78, 354,383.24 and 142,068.60

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Solution

The fourth proportional to 256,791.78, 354,383.24 and 142,068.60 is: 196,060.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,791.78 : 354,383.24 = 142,068.60 : x
  2. Step 2: Convert to fraction form
    256,791.78/354,383.24 = 142,068.60/x
  3. Step 3: Cross multiply
    256,791.78x = 354,383.24 × 142,068.60
  4. Step 4: Simplify right side
    256,791.78x = 50,346,730,059.92
  5. Step 5: Solve for x
    x = 50,346,730,059.92/256,791.78
  6. Step 6: Final answer
    x = 196,060.52

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1.5x scale

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.