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Finding the Fourth Proportional to 287,570.70, 396,849.14 and 166,783.61

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Solution

The fourth proportional to 287,570.70, 396,849.14 and 166,783.61 is: 230,162.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,570.70 : 396,849.14 = 166,783.61 : x
  2. Step 2: Convert to fraction form
    287,570.70/396,849.14 = 166,783.61/x
  3. Step 3: Cross multiply
    287,570.70x = 396,849.14 × 166,783.61
  4. Step 4: Simplify right side
    287,570.70x = 66,187,932,194.60
  5. Step 5: Solve for x
    x = 66,187,932,194.60/287,570.70
  6. Step 6: Final answer
    x = 230,162.29

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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.