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Finding the Fourth Proportional to 299,480.20, 449,218.47 and 74,839.48

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Solution

The fourth proportional to 299,480.20, 449,218.47 and 74,839.48 is: 112,258.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,480.20 : 449,218.47 = 74,839.48 : x
  2. Step 2: Convert to fraction form
    299,480.20/449,218.47 = 74,839.48/x
  3. Step 3: Cross multiply
    299,480.20x = 449,218.47 × 74,839.48
  4. Step 4: Simplify right side
    299,480.20x = 33,619,276,701.20
  5. Step 5: Solve for x
    x = 33,619,276,701.20/299,480.20
  6. Step 6: Final answer
    x = 112,258.76

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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.