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Finding the Fourth Proportional to 256,644.80, 354,046.80 and 166,029.20

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Solution

The fourth proportional to 256,644.80, 354,046.80 and 166,029.20 is: 229,040.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,644.80 : 354,046.80 = 166,029.20 : x
  2. Step 2: Convert to fraction form
    256,644.80/354,046.80 = 166,029.20/x
  3. Step 3: Cross multiply
    256,644.80x = 354,046.80 × 166,029.20
  4. Step 4: Simplify right side
    256,644.80x = 58,782,106,966.56
  5. Step 5: Solve for x
    x = 58,782,106,966.56/256,644.80
  6. Step 6: Final answer
    x = 229,040.71

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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.