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Finding the Fourth Proportional to 276,733.20, 415,099.80 and 164,758.80

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Solution

The fourth proportional to 276,733.20, 415,099.80 and 164,758.80 is: 247,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,733.20 : 415,099.80 = 164,758.80 : x
  2. Step 2: Convert to fraction form
    276,733.20/415,099.80 = 164,758.80/x
  3. Step 3: Cross multiply
    276,733.20x = 415,099.80 × 164,758.80
  4. Step 4: Simplify right side
    276,733.20x = 68,391,344,928.24
  5. Step 5: Solve for x
    x = 68,391,344,928.24/276,733.20
  6. Step 6: Final answer
    x = 247,138.20

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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.