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Finding the Fourth Proportional to 218,046.76, 300,819.09 and 160,823.44

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Solution

The fourth proportional to 218,046.76, 300,819.09 and 160,823.44 is: 221,873.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,046.76 : 300,819.09 = 160,823.44 : x
  2. Step 2: Convert to fraction form
    218,046.76/300,819.09 = 160,823.44/x
  3. Step 3: Cross multiply
    218,046.76x = 300,819.09 × 160,823.44
  4. Step 4: Simplify right side
    218,046.76x = 48,378,760,871.47
  5. Step 5: Solve for x
    x = 48,378,760,871.47/218,046.76
  6. Step 6: Final answer
    x = 221,873.33

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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.