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Finding the Fourth Proportional to 274,890.40, 412,335.60 and 204,906.40

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Solution

The fourth proportional to 274,890.40, 412,335.60 and 204,906.40 is: 307,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,890.40 : 412,335.60 = 204,906.40 : x
  2. Step 2: Convert to fraction form
    274,890.40/412,335.60 = 204,906.40/x
  3. Step 3: Cross multiply
    274,890.40x = 412,335.60 × 204,906.40
  4. Step 4: Simplify right side
    274,890.40x = 84,490,203,387.84
  5. Step 5: Solve for x
    x = 84,490,203,387.84/274,890.40
  6. Step 6: Final answer
    x = 307,359.60

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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.