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Finding the Fourth Proportional to 406,117.60, 609,273.60 and 206,468.80

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Solution

The fourth proportional to 406,117.60, 609,273.60 and 206,468.80 is: 309,752.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,117.60 : 609,273.60 = 206,468.80 : x
  2. Step 2: Convert to fraction form
    406,117.60/609,273.60 = 206,468.80/x
  3. Step 3: Cross multiply
    406,117.60x = 609,273.60 × 206,468.80
  4. Step 4: Simplify right side
    406,117.60x = 125,795,989,063.68
  5. Step 5: Solve for x
    x = 125,795,989,063.68/406,117.60
  6. Step 6: Final answer
    x = 309,752.62

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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.