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Finding the Fourth Proportional to 311,911.05, 430,239.04 and 204,488.04

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Solution

The fourth proportional to 311,911.05, 430,239.04 and 204,488.04 is: 282,063.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,911.05 : 430,239.04 = 204,488.04 : x
  2. Step 2: Convert to fraction form
    311,911.05/430,239.04 = 204,488.04/x
  3. Step 3: Cross multiply
    311,911.05x = 430,239.04 × 204,488.04
  4. Step 4: Simplify right side
    311,911.05x = 87,978,738,021.08
  5. Step 5: Solve for x
    x = 87,978,738,021.08/311,911.05
  6. Step 6: Final answer
    x = 282,063.55

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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.