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Finding the Fourth Proportional to 551,873.20, 827,809.80 and 509,882.80

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Solution

The fourth proportional to 551,873.20, 827,809.80 and 509,882.80 is: 764,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,873.20 : 827,809.80 = 509,882.80 : x
  2. Step 2: Convert to fraction form
    551,873.20/827,809.80 = 509,882.80/x
  3. Step 3: Cross multiply
    551,873.20x = 827,809.80 × 509,882.80
  4. Step 4: Simplify right side
    551,873.20x = 422,085,978,691.44
  5. Step 5: Solve for x
    x = 422,085,978,691.44/551,873.20
  6. Step 6: Final answer
    x = 764,824.20

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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.