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Finding the Fourth Proportional to 299,505.64, 449,257.18 and 77,889

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Solution

The fourth proportional to 299,505.64, 449,257.18 and 77,889 is: 116,833.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,505.64 : 449,257.18 = 77,889 : x
  2. Step 2: Convert to fraction form
    299,505.64/449,257.18 = 77,889/x
  3. Step 3: Cross multiply
    299,505.64x = 449,257.18 × 77,889
  4. Step 4: Simplify right side
    299,505.64x = 34,992,192,493.02
  5. Step 5: Solve for x
    x = 34,992,192,493.02/299,505.64
  6. Step 6: Final answer
    x = 116,833.17

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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.