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Finding the Fourth Proportional to 306,650.41, 422,998.20 and 199,291.96

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Solution

The fourth proportional to 306,650.41, 422,998.20 and 199,291.96 is: 274,906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,650.41 : 422,998.20 = 199,291.96 : x
  2. Step 2: Convert to fraction form
    306,650.41/422,998.20 = 199,291.96/x
  3. Step 3: Cross multiply
    306,650.41x = 422,998.20 × 199,291.96
  4. Step 4: Simplify right side
    306,650.41x = 84,300,140,354.47
  5. Step 5: Solve for x
    x = 84,300,140,354.47/306,650.41
  6. Step 6: Final answer
    x = 274,906.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.