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Finding the Fourth Proportional to 276,943.20, 415,414.80 and 275,193.60

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Solution

The fourth proportional to 276,943.20, 415,414.80 and 275,193.60 is: 412,790.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,943.20 : 415,414.80 = 275,193.60 : x
  2. Step 2: Convert to fraction form
    276,943.20/415,414.80 = 275,193.60/x
  3. Step 3: Cross multiply
    276,943.20x = 415,414.80 × 275,193.60
  4. Step 4: Simplify right side
    276,943.20x = 114,319,494,305.28
  5. Step 5: Solve for x
    x = 114,319,494,305.28/276,943.20
  6. Step 6: Final answer
    x = 412,790.40

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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.