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Finding the Fourth Proportional to 276,056.92, 380,956.25 and 155,198.74

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Solution

The fourth proportional to 276,056.92, 380,956.25 and 155,198.74 is: 214,172.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,056.92 : 380,956.25 = 155,198.74 : x
  2. Step 2: Convert to fraction form
    276,056.92/380,956.25 = 155,198.74/x
  3. Step 3: Cross multiply
    276,056.92x = 380,956.25 × 155,198.74
  4. Step 4: Simplify right side
    276,056.92x = 59,123,929,995.13
  5. Step 5: Solve for x
    x = 59,123,929,995.13/276,056.92
  6. Step 6: Final answer
    x = 214,172.97

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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.