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Finding the Fourth Proportional to 256,756, 354,203.84 and 166,141.20

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Solution

The fourth proportional to 256,756, 354,203.84 and 166,141.20 is: 229,197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,756 : 354,203.84 = 166,141.20 : x
  2. Step 2: Convert to fraction form
    256,756/354,203.84 = 166,141.20/x
  3. Step 3: Cross multiply
    256,756x = 354,203.84 × 166,141.20
  4. Step 4: Simplify right side
    256,756x = 58,847,851,022.21
  5. Step 5: Solve for x
    x = 58,847,851,022.21/256,756
  6. Step 6: Final answer
    x = 229,197.57

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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.