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Finding the Fourth Proportional to 299,642.72, 449,201.64 and 112,785.44

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Solution

The fourth proportional to 299,642.72, 449,201.64 and 112,785.44 is: 169,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,642.72 : 449,201.64 = 112,785.44 : x
  2. Step 2: Convert to fraction form
    299,642.72/449,201.64 = 112,785.44/x
  3. Step 3: Cross multiply
    299,642.72x = 449,201.64 × 112,785.44
  4. Step 4: Simplify right side
    299,642.72x = 50,663,404,616.12
  5. Step 5: Solve for x
    x = 50,663,404,616.12/299,642.72
  6. Step 6: Final answer
    x = 169,079.38

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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.