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Finding the Fourth Proportional to 217,740, 300,458.16 and 122,257.44

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Solution

The fourth proportional to 217,740, 300,458.16 and 122,257.44 is: 168,702.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,740 : 300,458.16 = 122,257.44 : x
  2. Step 2: Convert to fraction form
    217,740/300,458.16 = 122,257.44/x
  3. Step 3: Cross multiply
    217,740x = 300,458.16 × 122,257.44
  4. Step 4: Simplify right side
    217,740x = 36,733,245,468.71
  5. Step 5: Solve for x
    x = 36,733,245,468.71/217,740
  6. Step 6: Final answer
    x = 168,702.33

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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.