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Finding the Fourth Proportional to 646,105.92, 969,269.60 and 219,596.64

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Solution

The fourth proportional to 646,105.92, 969,269.60 and 219,596.64 is: 329,432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,105.92 : 969,269.60 = 219,596.64 : x
  2. Step 2: Convert to fraction form
    646,105.92/969,269.60 = 219,596.64/x
  3. Step 3: Cross multiply
    646,105.92x = 969,269.60 × 219,596.64
  4. Step 4: Simplify right side
    646,105.92x = 212,848,347,414.14
  5. Step 5: Solve for x
    x = 212,848,347,414.14/646,105.92
  6. Step 6: Final answer
    x = 329,432.59

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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.