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Finding the Fourth Proportional to 311,429.52, 429,324.84 and 221,850

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Solution

The fourth proportional to 311,429.52, 429,324.84 and 221,850 is: 305,833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,429.52 : 429,324.84 = 221,850 : x
  2. Step 2: Convert to fraction form
    311,429.52/429,324.84 = 221,850/x
  3. Step 3: Cross multiply
    311,429.52x = 429,324.84 × 221,850
  4. Step 4: Simplify right side
    311,429.52x = 95,245,715,754
  5. Step 5: Solve for x
    x = 95,245,715,754/311,429.52
  6. Step 6: Final answer
    x = 305,833.94

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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.