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Finding the Fourth Proportional to 204,420, 306,630 and 56,676

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Solution

The fourth proportional to 204,420, 306,630 and 56,676 is: 85,014

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,420 : 306,630 = 56,676 : x
  2. Step 2: Convert to fraction form
    204,420/306,630 = 56,676/x
  3. Step 3: Cross multiply
    204,420x = 306,630 × 56,676
  4. Step 4: Simplify right side
    204,420x = 17,378,561,880
  5. Step 5: Solve for x
    x = 17,378,561,880/204,420
  6. Step 6: Final answer
    x = 85,014

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.