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Finding the Fourth Proportional to 299,769.12, 449,770.32 and 275,274.72

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Solution

The fourth proportional to 299,769.12, 449,770.32 and 275,274.72 is: 413,019.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,769.12 : 449,770.32 = 275,274.72 : x
  2. Step 2: Convert to fraction form
    299,769.12/449,770.32 = 275,274.72/x
  3. Step 3: Cross multiply
    299,769.12x = 449,770.32 × 275,274.72
  4. Step 4: Simplify right side
    299,769.12x = 123,810,398,902.31
  5. Step 5: Solve for x
    x = 123,810,398,902.31/299,769.12
  6. Step 6: Final answer
    x = 413,019.19

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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.