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Finding the Fourth Proportional to 542,949.49, 813,940.28 and 206,226.60

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Solution

The fourth proportional to 542,949.49, 813,940.28 and 206,226.60 is: 309,156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,949.49 : 813,940.28 = 206,226.60 : x
  2. Step 2: Convert to fraction form
    542,949.49/813,940.28 = 206,226.60/x
  3. Step 3: Cross multiply
    542,949.49x = 813,940.28 × 206,226.60
  4. Step 4: Simplify right side
    542,949.49x = 167,856,135,516.32
  5. Step 5: Solve for x
    x = 167,856,135,516.32/542,949.49
  6. Step 6: Final answer
    x = 309,156.08

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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.