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Finding the Fourth Proportional to 276,908.80, 415,035.15 and 206,706.10

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Solution

The fourth proportional to 276,908.80, 415,035.15 and 206,706.10 is: 309,814.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,908.80 : 415,035.15 = 206,706.10 : x
  2. Step 2: Convert to fraction form
    276,908.80/415,035.15 = 206,706.10/x
  3. Step 3: Cross multiply
    276,908.80x = 415,035.15 × 206,706.10
  4. Step 4: Simplify right side
    276,908.80x = 85,790,297,219.42
  5. Step 5: Solve for x
    x = 85,790,297,219.42/276,908.80
  6. Step 6: Final answer
    x = 309,814.27

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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.