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Finding the Fourth Proportional to 287,212.78, 396,319.24 and 166,337.28

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Solution

The fourth proportional to 287,212.78, 396,319.24 and 166,337.28 is: 229,525.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,212.78 : 396,319.24 = 166,337.28 : x
  2. Step 2: Convert to fraction form
    287,212.78/396,319.24 = 166,337.28/x
  3. Step 3: Cross multiply
    287,212.78x = 396,319.24 × 166,337.28
  4. Step 4: Simplify right side
    287,212.78x = 65,922,664,393.27
  5. Step 5: Solve for x
    x = 65,922,664,393.27/287,212.78
  6. Step 6: Final answer
    x = 229,525.53

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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.