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Finding the Fourth Proportional to 446,872.40, 669,930.96 and 193,961.60

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Solution

The fourth proportional to 446,872.40, 669,930.96 and 193,961.60 is: 290,778.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,872.40 : 669,930.96 = 193,961.60 : x
  2. Step 2: Convert to fraction form
    446,872.40/669,930.96 = 193,961.60/x
  3. Step 3: Cross multiply
    446,872.40x = 669,930.96 × 193,961.60
  4. Step 4: Simplify right side
    446,872.40x = 129,940,880,891.14
  5. Step 5: Solve for x
    x = 129,940,880,891.14/446,872.40
  6. Step 6: Final answer
    x = 290,778.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.