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Finding the Fourth Proportional to 490,618.91, 736,213.89 and 206,288.86

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Solution

The fourth proportional to 490,618.91, 736,213.89 and 206,288.86 is: 309,553.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,618.91 : 736,213.89 = 206,288.86 : x
  2. Step 2: Convert to fraction form
    490,618.91/736,213.89 = 206,288.86/x
  3. Step 3: Cross multiply
    490,618.91x = 736,213.89 × 206,288.86
  4. Step 4: Simplify right side
    490,618.91x = 151,872,719,371.75
  5. Step 5: Solve for x
    x = 151,872,719,371.75/490,618.91
  6. Step 6: Final answer
    x = 309,553.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.