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Finding the Fourth Proportional to 415,662.14, 622,591 and 255,251.22

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Solution

The fourth proportional to 415,662.14, 622,591 and 255,251.22 is: 382,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,662.14 : 622,591 = 255,251.22 : x
  2. Step 2: Convert to fraction form
    415,662.14/622,591 = 255,251.22/x
  3. Step 3: Cross multiply
    415,662.14x = 622,591 × 255,251.22
  4. Step 4: Simplify right side
    415,662.14x = 158,917,112,311.02
  5. Step 5: Solve for x
    x = 158,917,112,311.02/415,662.14
  6. Step 6: Final answer
    x = 382,322.80

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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.