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Finding the Fourth Proportional to 304,194, 456,291 and 82,578

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Solution

The fourth proportional to 304,194, 456,291 and 82,578 is: 123,867

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,194 : 456,291 = 82,578 : x
  2. Step 2: Convert to fraction form
    304,194/456,291 = 82,578/x
  3. Step 3: Cross multiply
    304,194x = 456,291 × 82,578
  4. Step 4: Simplify right side
    304,194x = 37,679,598,198
  5. Step 5: Solve for x
    x = 37,679,598,198/304,194
  6. Step 6: Final answer
    x = 123,867

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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.