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Finding the Fourth Proportional to 324,012.78, 447,116.66 and 178,819.86

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Solution

The fourth proportional to 324,012.78, 447,116.66 and 178,819.86 is: 246,759.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,012.78 : 447,116.66 = 178,819.86 : x
  2. Step 2: Convert to fraction form
    324,012.78/447,116.66 = 178,819.86/x
  3. Step 3: Cross multiply
    324,012.78x = 447,116.66 × 178,819.86
  4. Step 4: Simplify right side
    324,012.78x = 79,953,338,544.87
  5. Step 5: Solve for x
    x = 79,953,338,544.87/324,012.78
  6. Step 6: Final answer
    x = 246,759.83

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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.