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Finding the Fourth Proportional to 299,622, 449,506.92 and 89,259.12

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Solution

The fourth proportional to 299,622, 449,506.92 and 89,259.12 is: 133,910.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,622 : 449,506.92 = 89,259.12 : x
  2. Step 2: Convert to fraction form
    299,622/449,506.92 = 89,259.12/x
  3. Step 3: Cross multiply
    299,622x = 449,506.92 × 89,259.12
  4. Step 4: Simplify right side
    299,622x = 40,122,592,113.11
  5. Step 5: Solve for x
    x = 40,122,592,113.11/299,622
  6. Step 6: Final answer
    x = 133,910.70

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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.