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Finding the Fourth Proportional to 276,295.86, 381,288.87 and 163,125.90

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Solution

The fourth proportional to 276,295.86, 381,288.87 and 163,125.90 is: 225,114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,295.86 : 381,288.87 = 163,125.90 : x
  2. Step 2: Convert to fraction form
    276,295.86/381,288.87 = 163,125.90/x
  3. Step 3: Cross multiply
    276,295.86x = 381,288.87 × 163,125.90
  4. Step 4: Simplify right side
    276,295.86x = 62,198,090,078.73
  5. Step 5: Solve for x
    x = 62,198,090,078.73/276,295.86
  6. Step 6: Final answer
    x = 225,114.09

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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.