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Finding the Fourth Proportional to 219,383.44, 328,826.39 and 100,809.77

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Solution

The fourth proportional to 219,383.44, 328,826.39 and 100,809.77 is: 151,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,383.44 : 328,826.39 = 100,809.77 : x
  2. Step 2: Convert to fraction form
    219,383.44/328,826.39 = 100,809.77/x
  3. Step 3: Cross multiply
    219,383.44x = 328,826.39 × 100,809.77
  4. Step 4: Simplify right side
    219,383.44x = 33,148,910,597.65
  5. Step 5: Solve for x
    x = 33,148,910,597.65/219,383.44
  6. Step 6: Final answer
    x = 151,100.33

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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.