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Finding the Fourth Proportional to 299,855.88, 449,631.02 and 100,104.52

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Solution

The fourth proportional to 299,855.88, 449,631.02 and 100,104.52 is: 150,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,855.88 : 449,631.02 = 100,104.52 : x
  2. Step 2: Convert to fraction form
    299,855.88/449,631.02 = 100,104.52/x
  3. Step 3: Cross multiply
    299,855.88x = 449,631.02 × 100,104.52
  4. Step 4: Simplify right side
    299,855.88x = 45,010,097,434.21
  5. Step 5: Solve for x
    x = 45,010,097,434.21/299,855.88
  6. Step 6: Final answer
    x = 150,105.77

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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.