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Finding the Fourth Proportional to 809,721, 1,213,752.06 and 336,681

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Solution

The fourth proportional to 809,721, 1,213,752.06 and 336,681 is: 504,676.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,721 : 1,213,752.06 = 336,681 : x
  2. Step 2: Convert to fraction form
    809,721/1,213,752.06 = 336,681/x
  3. Step 3: Cross multiply
    809,721x = 1,213,752.06 × 336,681
  4. Step 4: Simplify right side
    809,721x = 408,647,257,312.86
  5. Step 5: Solve for x
    x = 408,647,257,312.86/809,721
  6. Step 6: Final answer
    x = 504,676.62

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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.