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Finding the Fourth Proportional to 306,649.41, 422,996.82 and 199,290.96

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Solution

The fourth proportional to 306,649.41, 422,996.82 and 199,290.96 is: 274,904.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,649.41 : 422,996.82 = 199,290.96 : x
  2. Step 2: Convert to fraction form
    306,649.41/422,996.82 = 199,290.96/x
  3. Step 3: Cross multiply
    306,649.41x = 422,996.82 × 199,290.96
  4. Step 4: Simplify right side
    306,649.41x = 84,299,442,334.75
  5. Step 5: Solve for x
    x = 84,299,442,334.75/306,649.41
  6. Step 6: Final answer
    x = 274,904.96

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1.5x scale

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.