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Finding the Fourth Proportional to 358,769.43, 495,123.12 and 205,806.60

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Solution

The fourth proportional to 358,769.43, 495,123.12 and 205,806.60 is: 284,025.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,769.43 : 495,123.12 = 205,806.60 : x
  2. Step 2: Convert to fraction form
    358,769.43/495,123.12 = 205,806.60/x
  3. Step 3: Cross multiply
    358,769.43x = 495,123.12 × 205,806.60
  4. Step 4: Simplify right side
    358,769.43x = 101,899,605,908.59
  5. Step 5: Solve for x
    x = 101,899,605,908.59/358,769.43
  6. Step 6: Final answer
    x = 284,025.33

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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.