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Finding the Fourth Proportional to 415,105.20, 622,734.60 and 134,631.60

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Solution

The fourth proportional to 415,105.20, 622,734.60 and 134,631.60 is: 201,972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,105.20 : 622,734.60 = 134,631.60 : x
  2. Step 2: Convert to fraction form
    415,105.20/622,734.60 = 134,631.60/x
  3. Step 3: Cross multiply
    415,105.20x = 622,734.60 × 134,631.60
  4. Step 4: Simplify right side
    415,105.20x = 83,839,755,573.36
  5. Step 5: Solve for x
    x = 83,839,755,573.36/415,105.20
  6. Step 6: Final answer
    x = 201,972.31

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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.