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Finding the Fourth Proportional to 276,902.82, 382,126.05 and 149,578.44

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Solution

The fourth proportional to 276,902.82, 382,126.05 and 149,578.44 is: 206,418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,902.82 : 382,126.05 = 149,578.44 : x
  2. Step 2: Convert to fraction form
    276,902.82/382,126.05 = 149,578.44/x
  3. Step 3: Cross multiply
    276,902.82x = 382,126.05 × 149,578.44
  4. Step 4: Simplify right side
    276,902.82x = 57,157,818,442.36
  5. Step 5: Solve for x
    x = 57,157,818,442.36/276,902.82
  6. Step 6: Final answer
    x = 206,418.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.