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Finding the Fourth Proportional to 287,231.50, 396,121.40 and 179,811.30

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Solution

The fourth proportional to 287,231.50, 396,121.40 and 179,811.30 is: 247,978.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,231.50 : 396,121.40 = 179,811.30 : x
  2. Step 2: Convert to fraction form
    287,231.50/396,121.40 = 179,811.30/x
  3. Step 3: Cross multiply
    287,231.50x = 396,121.40 × 179,811.30
  4. Step 4: Simplify right side
    287,231.50x = 71,227,103,891.82
  5. Step 5: Solve for x
    x = 71,227,103,891.82/287,231.50
  6. Step 6: Final answer
    x = 247,978.04

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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.