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Finding the Fourth Proportional to 358,769.88, 495,123.72 and 205,806.96

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Solution

The fourth proportional to 358,769.88, 495,123.72 and 205,806.96 is: 284,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,769.88 : 495,123.72 = 205,806.96 : x
  2. Step 2: Convert to fraction form
    358,769.88/495,123.72 = 205,806.96/x
  3. Step 3: Cross multiply
    358,769.88x = 495,123.72 × 205,806.96
  4. Step 4: Simplify right side
    358,769.88x = 101,899,907,637.09
  5. Step 5: Solve for x
    x = 101,899,907,637.09/358,769.88
  6. Step 6: Final answer
    x = 284,025.82

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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.