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Finding the Fourth Proportional to 300,546.86, 450,747.18 and 100,815.44

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Solution

The fourth proportional to 300,546.86, 450,747.18 and 100,815.44 is: 151,198.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,546.86 : 450,747.18 = 100,815.44 : x
  2. Step 2: Convert to fraction form
    300,546.86/450,747.18 = 100,815.44/x
  3. Step 3: Cross multiply
    300,546.86x = 450,747.18 × 100,815.44
  4. Step 4: Simplify right side
    300,546.86x = 45,442,273,026.72
  5. Step 5: Solve for x
    x = 45,442,273,026.72/300,546.86
  6. Step 6: Final answer
    x = 151,198.63

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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.