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Finding the Fourth Proportional to 406,439.66, 610,037.76 and 206,909.42

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Solution

The fourth proportional to 406,439.66, 610,037.76 and 206,909.42 is: 310,556.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,439.66 : 610,037.76 = 206,909.42 : x
  2. Step 2: Convert to fraction form
    406,439.66/610,037.76 = 206,909.42/x
  3. Step 3: Cross multiply
    406,439.66x = 610,037.76 × 206,909.42
  4. Step 4: Simplify right side
    406,439.66x = 126,222,561,400.70
  5. Step 5: Solve for x
    x = 126,222,561,400.70/406,439.66
  6. Step 6: Final answer
    x = 310,556.71

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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.