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Finding the Fourth Proportional to 352,901.80, 486,949.64 and 209,658.16

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Solution

The fourth proportional to 352,901.80, 486,949.64 and 209,658.16 is: 289,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,901.80 : 486,949.64 = 209,658.16 : x
  2. Step 2: Convert to fraction form
    352,901.80/486,949.64 = 209,658.16/x
  3. Step 3: Cross multiply
    352,901.80x = 486,949.64 × 209,658.16
  4. Step 4: Simplify right side
    352,901.80x = 102,092,965,535.06
  5. Step 5: Solve for x
    x = 102,092,965,535.06/352,901.80
  6. Step 6: Final answer
    x = 289,295.68

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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.