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Finding the Fourth Proportional to 298,733.70, 412,247.31 and 162,768.78

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Solution

The fourth proportional to 298,733.70, 412,247.31 and 162,768.78 is: 224,618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,733.70 : 412,247.31 = 162,768.78 : x
  2. Step 2: Convert to fraction form
    298,733.70/412,247.31 = 162,768.78/x
  3. Step 3: Cross multiply
    298,733.70x = 412,247.31 × 162,768.78
  4. Step 4: Simplify right side
    298,733.70x = 67,100,991,706.98
  5. Step 5: Solve for x
    x = 67,100,991,706.98/298,733.70
  6. Step 6: Final answer
    x = 224,618.09

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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.