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Finding the Fourth Proportional to 306,291.58, 422,620.44 and 178,942.57

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Solution

The fourth proportional to 306,291.58, 422,620.44 and 178,942.57 is: 246,904.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,291.58 : 422,620.44 = 178,942.57 : x
  2. Step 2: Convert to fraction form
    306,291.58/422,620.44 = 178,942.57/x
  3. Step 3: Cross multiply
    306,291.58x = 422,620.44 × 178,942.57
  4. Step 4: Simplify right side
    306,291.58x = 75,624,785,940.55
  5. Step 5: Solve for x
    x = 75,624,785,940.55/306,291.58
  6. Step 6: Final answer
    x = 246,904.56

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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.