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Finding the Fourth Proportional to 276,685.20, 415,222.20 and 119,026.80

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Solution

The fourth proportional to 276,685.20, 415,222.20 and 119,026.80 is: 178,623.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,685.20 : 415,222.20 = 119,026.80 : x
  2. Step 2: Convert to fraction form
    276,685.20/415,222.20 = 119,026.80/x
  3. Step 3: Cross multiply
    276,685.20x = 415,222.20 × 119,026.80
  4. Step 4: Simplify right side
    276,685.20x = 49,422,569,754.96
  5. Step 5: Solve for x
    x = 49,422,569,754.96/276,685.20
  6. Step 6: Final answer
    x = 178,623.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.