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Finding the Fourth Proportional to 352,901.91, 486,949.82 and 209,658.27

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Solution

The fourth proportional to 352,901.91, 486,949.82 and 209,658.27 is: 289,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,901.91 : 486,949.82 = 209,658.27 : x
  2. Step 2: Convert to fraction form
    352,901.91/486,949.82 = 209,658.27/x
  3. Step 3: Cross multiply
    352,901.91x = 486,949.82 × 209,658.27
  4. Step 4: Simplify right side
    352,901.91x = 102,093,055,789.72
  5. Step 5: Solve for x
    x = 102,093,055,789.72/352,901.91
  6. Step 6: Final answer
    x = 289,295.84

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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.