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Finding the Fourth Proportional to 299,768.30, 449,963.89 and 200,621.33

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Solution

The fourth proportional to 299,768.30, 449,963.89 and 200,621.33 is: 301,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,768.30 : 449,963.89 = 200,621.33 : x
  2. Step 2: Convert to fraction form
    299,768.30/449,963.89 = 200,621.33/x
  3. Step 3: Cross multiply
    299,768.30x = 449,963.89 × 200,621.33
  4. Step 4: Simplify right side
    299,768.30x = 90,272,354,063.77
  5. Step 5: Solve for x
    x = 90,272,354,063.77/299,768.30
  6. Step 6: Final answer
    x = 301,140.43

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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.