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Finding the Fourth Proportional to 287,112.78, 396,198.54 and 166,245.48

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Solution

The fourth proportional to 287,112.78, 396,198.54 and 166,245.48 is: 229,408.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,112.78 : 396,198.54 = 166,245.48 : x
  2. Step 2: Convert to fraction form
    287,112.78/396,198.54 = 166,245.48/x
  3. Step 3: Cross multiply
    287,112.78x = 396,198.54 × 166,245.48
  4. Step 4: Simplify right side
    287,112.78x = 65,866,216,457.60
  5. Step 5: Solve for x
    x = 65,866,216,457.60/287,112.78
  6. Step 6: Final answer
    x = 229,408.86

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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.