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Finding the Fourth Proportional to 287,568.70, 396,846.38 and 166,781.61

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Solution

The fourth proportional to 287,568.70, 396,846.38 and 166,781.61 is: 230,159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,568.70 : 396,846.38 = 166,781.61 : x
  2. Step 2: Convert to fraction form
    287,568.70/396,846.38 = 166,781.61/x
  3. Step 3: Cross multiply
    287,568.70x = 396,846.38 × 166,781.61
  4. Step 4: Simplify right side
    287,568.70x = 66,186,678,596.03
  5. Step 5: Solve for x
    x = 66,186,678,596.03/287,568.70
  6. Step 6: Final answer
    x = 230,159.54

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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.