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Finding the Fourth Proportional to 306,951.56, 423,658.50 and 206,291.24

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Solution

The fourth proportional to 306,951.56, 423,658.50 and 206,291.24 is: 284,725.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,951.56 : 423,658.50 = 206,291.24 : x
  2. Step 2: Convert to fraction form
    306,951.56/423,658.50 = 206,291.24/x
  3. Step 3: Cross multiply
    306,951.56x = 423,658.50 × 206,291.24
  4. Step 4: Simplify right side
    306,951.56x = 87,397,037,301.54
  5. Step 5: Solve for x
    x = 87,397,037,301.54/306,951.56
  6. Step 6: Final answer
    x = 284,725.83

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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.