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Finding the Fourth Proportional to 358,806.43, 495,118.80 and 205,857.22

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Solution

The fourth proportional to 358,806.43, 495,118.80 and 205,857.22 is: 284,063.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,806.43 : 495,118.80 = 205,857.22 : x
  2. Step 2: Convert to fraction form
    358,806.43/495,118.80 = 205,857.22/x
  3. Step 3: Cross multiply
    358,806.43x = 495,118.80 × 205,857.22
  4. Step 4: Simplify right side
    358,806.43x = 101,923,781,399.78
  5. Step 5: Solve for x
    x = 101,923,781,399.78/358,806.43
  6. Step 6: Final answer
    x = 284,063.42

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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.