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Finding the Fourth Proportional to 258,897.44, 387,821.28 and 133,976

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Solution

The fourth proportional to 258,897.44, 387,821.28 and 133,976 is: 200,692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,897.44 : 387,821.28 = 133,976 : x
  2. Step 2: Convert to fraction form
    258,897.44/387,821.28 = 133,976/x
  3. Step 3: Cross multiply
    258,897.44x = 387,821.28 × 133,976
  4. Step 4: Simplify right side
    258,897.44x = 51,958,743,809.28
  5. Step 5: Solve for x
    x = 51,958,743,809.28/258,897.44
  6. Step 6: Final answer
    x = 200,692.38

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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.