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Finding the Fourth Proportional to 256,942.30, 354,580.84 and 142,228.88

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Solution

The fourth proportional to 256,942.30, 354,580.84 and 142,228.88 is: 196,276.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,942.30 : 354,580.84 = 142,228.88 : x
  2. Step 2: Convert to fraction form
    256,942.30/354,580.84 = 142,228.88/x
  3. Step 3: Cross multiply
    256,942.30x = 354,580.84 × 142,228.88
  4. Step 4: Simplify right side
    256,942.30x = 50,431,635,742.66
  5. Step 5: Solve for x
    x = 50,431,635,742.66/256,942.30
  6. Step 6: Final answer
    x = 196,276.11

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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.