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Finding the Fourth Proportional to 819,992.70, 1,230,219.45 and 399,282.30

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Solution

The fourth proportional to 819,992.70, 1,230,219.45 and 399,282.30 is: 599,035.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,992.70 : 1,230,219.45 = 399,282.30 : x
  2. Step 2: Convert to fraction form
    819,992.70/1,230,219.45 = 399,282.30/x
  3. Step 3: Cross multiply
    819,992.70x = 1,230,219.45 × 399,282.30
  4. Step 4: Simplify right side
    819,992.70x = 491,204,851,500.74
  5. Step 5: Solve for x
    x = 491,204,851,500.74/819,992.70
  6. Step 6: Final answer
    x = 599,035.64

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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.