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Finding the Fourth Proportional to 406,101.60, 609,249.60 and 206,452.80

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Solution

The fourth proportional to 406,101.60, 609,249.60 and 206,452.80 is: 309,728.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,101.60 : 609,249.60 = 206,452.80 : x
  2. Step 2: Convert to fraction form
    406,101.60/609,249.60 = 206,452.80/x
  3. Step 3: Cross multiply
    406,101.60x = 609,249.60 × 206,452.80
  4. Step 4: Simplify right side
    406,101.60x = 125,781,285,818.88
  5. Step 5: Solve for x
    x = 125,781,285,818.88/406,101.60
  6. Step 6: Final answer
    x = 309,728.61

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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.