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Finding the Fourth Proportional to 299,857.50, 449,786.32 and 78,241.50

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Solution

The fourth proportional to 299,857.50, 449,786.32 and 78,241.50 is: 117,362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,857.50 : 449,786.32 = 78,241.50 : x
  2. Step 2: Convert to fraction form
    299,857.50/449,786.32 = 78,241.50/x
  3. Step 3: Cross multiply
    299,857.50x = 449,786.32 × 78,241.50
  4. Step 4: Simplify right side
    299,857.50x = 35,191,956,160.68
  5. Step 5: Solve for x
    x = 35,191,956,160.68/299,857.50
  6. Step 6: Final answer
    x = 117,362.27

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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.