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Finding the Fourth Proportional to 287,370.52, 396,571.31 and 160,046.11

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Solution

The fourth proportional to 287,370.52, 396,571.31 and 160,046.11 is: 220,863.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,370.52 : 396,571.31 = 160,046.11 : x
  2. Step 2: Convert to fraction form
    287,370.52/396,571.31 = 160,046.11/x
  3. Step 3: Cross multiply
    287,370.52x = 396,571.31 × 160,046.11
  4. Step 4: Simplify right side
    287,370.52x = 63,469,695,798.76
  5. Step 5: Solve for x
    x = 63,469,695,798.76/287,370.52
  6. Step 6: Final answer
    x = 220,863.63

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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.