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Finding the Fourth Proportional to 287,345.73, 396,508.73 and 160,033.17

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Solution

The fourth proportional to 287,345.73, 396,508.73 and 160,033.17 is: 220,829.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,345.73 : 396,508.73 = 160,033.17 : x
  2. Step 2: Convert to fraction form
    287,345.73/396,508.73 = 160,033.17/x
  3. Step 3: Cross multiply
    287,345.73x = 396,508.73 × 160,033.17
  4. Step 4: Simplify right side
    287,345.73x = 63,454,548,194.41
  5. Step 5: Solve for x
    x = 63,454,548,194.41/287,345.73
  6. Step 6: Final answer
    x = 220,829.97

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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.