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Finding the Fourth Proportional to 406,119.60, 609,276.60 and 206,470.80

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Solution

The fourth proportional to 406,119.60, 609,276.60 and 206,470.80 is: 309,755.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,119.60 : 609,276.60 = 206,470.80 : x
  2. Step 2: Convert to fraction form
    406,119.60/609,276.60 = 206,470.80/x
  3. Step 3: Cross multiply
    406,119.60x = 609,276.60 × 206,470.80
  4. Step 4: Simplify right side
    406,119.60x = 125,797,827,023.28
  5. Step 5: Solve for x
    x = 125,797,827,023.28/406,119.60
  6. Step 6: Final answer
    x = 309,755.62

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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.