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Finding the Fourth Proportional to 309,286.33, 463,912.38 and 84,630.63

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Solution

The fourth proportional to 309,286.33, 463,912.38 and 84,630.63 is: 126,941.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,286.33 : 463,912.38 = 84,630.63 : x
  2. Step 2: Convert to fraction form
    309,286.33/463,912.38 = 84,630.63/x
  3. Step 3: Cross multiply
    309,286.33x = 463,912.38 × 84,630.63
  4. Step 4: Simplify right side
    309,286.33x = 39,261,198,723.87
  5. Step 5: Solve for x
    x = 39,261,198,723.87/309,286.33
  6. Step 6: Final answer
    x = 126,941.27

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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.