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Finding the Fourth Proportional to 300,658.96, 450,972.60 and 100,983.43

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Solution

The fourth proportional to 300,658.96, 450,972.60 and 100,983.43 is: 151,469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,658.96 : 450,972.60 = 100,983.43 : x
  2. Step 2: Convert to fraction form
    300,658.96/450,972.60 = 100,983.43/x
  3. Step 3: Cross multiply
    300,658.96x = 450,972.60 × 100,983.43
  4. Step 4: Simplify right side
    300,658.96x = 45,540,759,984.02
  5. Step 5: Solve for x
    x = 45,540,759,984.02/300,658.96
  6. Step 6: Final answer
    x = 151,469.82

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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.