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Finding the Fourth Proportional to 299,537.30, 449,297.31 and 122,000.42

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Solution

The fourth proportional to 299,537.30, 449,297.31 and 122,000.42 is: 182,997.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,537.30 : 449,297.31 = 122,000.42 : x
  2. Step 2: Convert to fraction form
    299,537.30/449,297.31 = 122,000.42/x
  3. Step 3: Cross multiply
    299,537.30x = 449,297.31 × 122,000.42
  4. Step 4: Simplify right side
    299,537.30x = 54,814,460,524.87
  5. Step 5: Solve for x
    x = 54,814,460,524.87/299,537.30
  6. Step 6: Final answer
    x = 182,997.11

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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.