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Finding the Fourth Proportional to 299,882.10, 449,896.98 and 211,308.60

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Solution

The fourth proportional to 299,882.10, 449,896.98 and 211,308.60 is: 317,014.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,882.10 : 449,896.98 = 211,308.60 : x
  2. Step 2: Convert to fraction form
    299,882.10/449,896.98 = 211,308.60/x
  3. Step 3: Cross multiply
    299,882.10x = 449,896.98 × 211,308.60
  4. Step 4: Simplify right side
    299,882.10x = 95,067,100,988.03
  5. Step 5: Solve for x
    x = 95,067,100,988.03/299,882.10
  6. Step 6: Final answer
    x = 317,014.92

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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.