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Finding the Fourth Proportional to 276,805.92, 381,999.78 and 169,374

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Solution

The fourth proportional to 276,805.92, 381,999.78 and 169,374 is: 233,740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,805.92 : 381,999.78 = 169,374 : x
  2. Step 2: Convert to fraction form
    276,805.92/381,999.78 = 169,374/x
  3. Step 3: Cross multiply
    276,805.92x = 381,999.78 × 169,374
  4. Step 4: Simplify right side
    276,805.92x = 64,700,830,737.72
  5. Step 5: Solve for x
    x = 64,700,830,737.72/276,805.92
  6. Step 6: Final answer
    x = 233,740.78

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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.