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Finding the Fourth Proportional to 319,179.84, 478,786.14 and 82,524.54

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Solution

The fourth proportional to 319,179.84, 478,786.14 and 82,524.54 is: 123,791.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,179.84 : 478,786.14 = 82,524.54 : x
  2. Step 2: Convert to fraction form
    319,179.84/478,786.14 = 82,524.54/x
  3. Step 3: Cross multiply
    319,179.84x = 478,786.14 × 82,524.54
  4. Step 4: Simplify right side
    319,179.84x = 39,511,605,961.88
  5. Step 5: Solve for x
    x = 39,511,605,961.88/319,179.84
  6. Step 6: Final answer
    x = 123,791.05

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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.