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Finding the Fourth Proportional to 276,908.30, 415,034.40 and 206,705.60

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Solution

The fourth proportional to 276,908.30, 415,034.40 and 206,705.60 is: 309,813.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,908.30 : 415,034.40 = 206,705.60 : x
  2. Step 2: Convert to fraction form
    276,908.30/415,034.40 = 206,705.60/x
  3. Step 3: Cross multiply
    276,908.30x = 415,034.40 × 206,705.60
  4. Step 4: Simplify right side
    276,908.30x = 85,789,934,672.64
  5. Step 5: Solve for x
    x = 85,789,934,672.64/276,908.30
  6. Step 6: Final answer
    x = 309,813.52

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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.