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Finding the Fourth Proportional to 276,872.64, 382,041 and 156,007.68

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Solution

The fourth proportional to 276,872.64, 382,041 and 156,007.68 is: 215,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,872.64 : 382,041 = 156,007.68 : x
  2. Step 2: Convert to fraction form
    276,872.64/382,041 = 156,007.68/x
  3. Step 3: Cross multiply
    276,872.64x = 382,041 × 156,007.68
  4. Step 4: Simplify right side
    276,872.64x = 59,601,330,074.88
  5. Step 5: Solve for x
    x = 59,601,330,074.88/276,872.64
  6. Step 6: Final answer
    x = 215,266.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.