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Finding the Fourth Proportional to 287,162.76, 396,284.62 and 159,835.62

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Solution

The fourth proportional to 287,162.76, 396,284.62 and 159,835.62 is: 220,573.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,162.76 : 396,284.62 = 159,835.62 : x
  2. Step 2: Convert to fraction form
    287,162.76/396,284.62 = 159,835.62/x
  3. Step 3: Cross multiply
    287,162.76x = 396,284.62 × 159,835.62
  4. Step 4: Simplify right side
    287,162.76x = 63,340,397,934.16
  5. Step 5: Solve for x
    x = 63,340,397,934.16/287,162.76
  6. Step 6: Final answer
    x = 220,573.16

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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.