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Finding the Fourth Proportional to 276,199.43, 413,921.15 and 208,675.95

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Solution

The fourth proportional to 276,199.43, 413,921.15 and 208,675.95 is: 312,728.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,199.43 : 413,921.15 = 208,675.95 : x
  2. Step 2: Convert to fraction form
    276,199.43/413,921.15 = 208,675.95/x
  3. Step 3: Cross multiply
    276,199.43x = 413,921.15 × 208,675.95
  4. Step 4: Simplify right side
    276,199.43x = 86,375,388,157.96
  5. Step 5: Solve for x
    x = 86,375,388,157.96/276,199.43
  6. Step 6: Final answer
    x = 312,728.34

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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.