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Finding the Fourth Proportional to 415,146, 622,719.60 and 115,627.44

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Solution

The fourth proportional to 415,146, 622,719.60 and 115,627.44 is: 173,441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,146 : 622,719.60 = 115,627.44 : x
  2. Step 2: Convert to fraction form
    415,146/622,719.60 = 115,627.44/x
  3. Step 3: Cross multiply
    415,146x = 622,719.60 × 115,627.44
  4. Step 4: Simplify right side
    415,146x = 72,003,473,185.82
  5. Step 5: Solve for x
    x = 72,003,473,185.82/415,146
  6. Step 6: Final answer
    x = 173,441.33

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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.