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Finding the Fourth Proportional to 299,415.60, 449,123.40 and 271,859.40

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Solution

The fourth proportional to 299,415.60, 449,123.40 and 271,859.40 is: 407,789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,415.60 : 449,123.40 = 271,859.40 : x
  2. Step 2: Convert to fraction form
    299,415.60/449,123.40 = 271,859.40/x
  3. Step 3: Cross multiply
    299,415.60x = 449,123.40 × 271,859.40
  4. Step 4: Simplify right side
    299,415.60x = 122,098,418,049.96
  5. Step 5: Solve for x
    x = 122,098,418,049.96/299,415.60
  6. Step 6: Final answer
    x = 407,789.10

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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.