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Finding the Fourth Proportional to 299,629.80, 449,507.10 and 100,012.20

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Solution

The fourth proportional to 299,629.80, 449,507.10 and 100,012.20 is: 150,039.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,629.80 : 449,507.10 = 100,012.20 : x
  2. Step 2: Convert to fraction form
    299,629.80/449,507.10 = 100,012.20/x
  3. Step 3: Cross multiply
    299,629.80x = 449,507.10 × 100,012.20
  4. Step 4: Simplify right side
    299,629.80x = 44,956,193,986.62
  5. Step 5: Solve for x
    x = 44,956,193,986.62/299,629.80
  6. Step 6: Final answer
    x = 150,039.13

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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.