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Finding the Fourth Proportional to 427,755.44, 641,272.26 and 269,635.34

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Solution

The fourth proportional to 427,755.44, 641,272.26 and 269,635.34 is: 404,225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,755.44 : 641,272.26 = 269,635.34 : x
  2. Step 2: Convert to fraction form
    427,755.44/641,272.26 = 269,635.34/x
  3. Step 3: Cross multiply
    427,755.44x = 641,272.26 × 269,635.34
  4. Step 4: Simplify right side
    427,755.44x = 172,909,663,857.67
  5. Step 5: Solve for x
    x = 172,909,663,857.67/427,755.44
  6. Step 6: Final answer
    x = 404,225.52

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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.