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Finding the Fourth Proportional to 276,055.92, 380,954.87 and 155,197.74

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Solution

The fourth proportional to 276,055.92, 380,954.87 and 155,197.74 is: 214,171.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,055.92 : 380,954.87 = 155,197.74 : x
  2. Step 2: Convert to fraction form
    276,055.92/380,954.87 = 155,197.74/x
  3. Step 3: Cross multiply
    276,055.92x = 380,954.87 × 155,197.74
  4. Step 4: Simplify right side
    276,055.92x = 59,123,334,865.99
  5. Step 5: Solve for x
    x = 59,123,334,865.99/276,055.92
  6. Step 6: Final answer
    x = 214,171.59

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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.