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Finding the Fourth Proportional to 219,189.90, 328,786.29 and 119,449.74

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Solution

The fourth proportional to 219,189.90, 328,786.29 and 119,449.74 is: 179,175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,189.90 : 328,786.29 = 119,449.74 : x
  2. Step 2: Convert to fraction form
    219,189.90/328,786.29 = 119,449.74/x
  3. Step 3: Cross multiply
    219,189.90x = 328,786.29 × 119,449.74
  4. Step 4: Simplify right side
    219,189.90x = 39,273,436,856.06
  5. Step 5: Solve for x
    x = 39,273,436,856.06/219,189.90
  6. Step 6: Final answer
    x = 179,175.39

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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.