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Finding the Fourth Proportional to 299,808, 449,737.92 and 78,192

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Solution

The fourth proportional to 299,808, 449,737.92 and 78,192 is: 117,294.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,808 : 449,737.92 = 78,192 : x
  2. Step 2: Convert to fraction form
    299,808/449,737.92 = 78,192/x
  3. Step 3: Cross multiply
    299,808x = 449,737.92 × 78,192
  4. Step 4: Simplify right side
    299,808x = 35,165,907,440.64
  5. Step 5: Solve for x
    x = 35,165,907,440.64/299,808
  6. Step 6: Final answer
    x = 117,294.76

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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.