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Finding the Fourth Proportional to 299,363.85, 449,045.78 and 274,869.45

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Solution

The fourth proportional to 299,363.85, 449,045.78 and 274,869.45 is: 412,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,363.85 : 449,045.78 = 274,869.45 : x
  2. Step 2: Convert to fraction form
    299,363.85/449,045.78 = 274,869.45/x
  3. Step 3: Cross multiply
    299,363.85x = 449,045.78 × 274,869.45
  4. Step 4: Simplify right side
    299,363.85x = 123,428,965,199.07
  5. Step 5: Solve for x
    x = 123,428,965,199.07/299,363.85
  6. Step 6: Final answer
    x = 412,304.18

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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.