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Finding the Fourth Proportional to 299,721, 449,571.15 and 75,083.40

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Solution

The fourth proportional to 299,721, 449,571.15 and 75,083.40 is: 112,622.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,721 : 449,571.15 = 75,083.40 : x
  2. Step 2: Convert to fraction form
    299,721/449,571.15 = 75,083.40/x
  3. Step 3: Cross multiply
    299,721x = 449,571.15 × 75,083.40
  4. Step 4: Simplify right side
    299,721x = 33,755,330,483.91
  5. Step 5: Solve for x
    x = 33,755,330,483.91/299,721
  6. Step 6: Final answer
    x = 112,622.51

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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.