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Finding the Fourth Proportional to 299,375.40, 449,063.10 and 271,727.40

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Solution

The fourth proportional to 299,375.40, 449,063.10 and 271,727.40 is: 407,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,375.40 : 449,063.10 = 271,727.40 : x
  2. Step 2: Convert to fraction form
    299,375.40/449,063.10 = 271,727.40/x
  3. Step 3: Cross multiply
    299,375.40x = 449,063.10 × 271,727.40
  4. Step 4: Simplify right side
    299,375.40x = 122,022,748,598.94
  5. Step 5: Solve for x
    x = 122,022,748,598.94/299,375.40
  6. Step 6: Final answer
    x = 407,591.10

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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.