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Finding the Fourth Proportional to 287,586.44, 396,852.78 and 165,052.88

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Solution

The fourth proportional to 287,586.44, 396,852.78 and 165,052.88 is: 227,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,586.44 : 396,852.78 = 165,052.88 : x
  2. Step 2: Convert to fraction form
    287,586.44/396,852.78 = 165,052.88/x
  3. Step 3: Cross multiply
    287,586.44x = 396,852.78 × 165,052.88
  4. Step 4: Simplify right side
    287,586.44x = 65,501,694,275.01
  5. Step 5: Solve for x
    x = 65,501,694,275.01/287,586.44
  6. Step 6: Final answer
    x = 227,763.50

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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.