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Finding the Fourth Proportional to 329,511.10, 493,610.55 and 189,105.70

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Solution

The fourth proportional to 329,511.10, 493,610.55 and 189,105.70 is: 283,282.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,511.10 : 493,610.55 = 189,105.70 : x
  2. Step 2: Convert to fraction form
    329,511.10/493,610.55 = 189,105.70/x
  3. Step 3: Cross multiply
    329,511.10x = 493,610.55 × 189,105.70
  4. Step 4: Simplify right side
    329,511.10x = 93,344,568,585.14
  5. Step 5: Solve for x
    x = 93,344,568,585.14/329,511.10
  6. Step 6: Final answer
    x = 283,282.02

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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.