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Finding the Fourth Proportional to 299,991.20, 449,991.60 and 78,375.20

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Solution

The fourth proportional to 299,991.20, 449,991.60 and 78,375.20 is: 117,564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,991.20 : 449,991.60 = 78,375.20 : x
  2. Step 2: Convert to fraction form
    299,991.20/449,991.60 = 78,375.20/x
  3. Step 3: Cross multiply
    299,991.20x = 449,991.60 × 78,375.20
  4. Step 4: Simplify right side
    299,991.20x = 35,268,181,648.32
  5. Step 5: Solve for x
    x = 35,268,181,648.32/299,991.20
  6. Step 6: Final answer
    x = 117,564.05

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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.