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Finding the Fourth Proportional to 415,194.90, 622,696.77 and 162,481.38

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Solution

The fourth proportional to 415,194.90, 622,696.77 and 162,481.38 is: 243,684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,194.90 : 622,696.77 = 162,481.38 : x
  2. Step 2: Convert to fraction form
    415,194.90/622,696.77 = 162,481.38/x
  3. Step 3: Cross multiply
    415,194.90x = 622,696.77 × 162,481.38
  4. Step 4: Simplify right side
    415,194.90x = 101,176,630,511.14
  5. Step 5: Solve for x
    x = 101,176,630,511.14/415,194.90
  6. Step 6: Final answer
    x = 243,684.67

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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.