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Finding the Fourth Proportional to 289,858.26, 399,868.30 and 205,022.10

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Solution

The fourth proportional to 289,858.26, 399,868.30 and 205,022.10 is: 282,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,858.26 : 399,868.30 = 205,022.10 : x
  2. Step 2: Convert to fraction form
    289,858.26/399,868.30 = 205,022.10/x
  3. Step 3: Cross multiply
    289,858.26x = 399,868.30 × 205,022.10
  4. Step 4: Simplify right side
    289,858.26x = 81,981,838,589.43
  5. Step 5: Solve for x
    x = 81,981,838,589.43/289,858.26
  6. Step 6: Final answer
    x = 282,834.23

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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.