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Finding the Fourth Proportional to 543,211.20, 814,233.60 and 206,121.60

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Solution

The fourth proportional to 543,211.20, 814,233.60 and 206,121.60 is: 308,961.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,211.20 : 814,233.60 = 206,121.60 : x
  2. Step 2: Convert to fraction form
    543,211.20/814,233.60 = 206,121.60/x
  3. Step 3: Cross multiply
    543,211.20x = 814,233.60 × 206,121.60
  4. Step 4: Simplify right side
    543,211.20x = 167,831,132,405.76
  5. Step 5: Solve for x
    x = 167,831,132,405.76/543,211.20
  6. Step 6: Final answer
    x = 308,961.10

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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.