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Finding the Fourth Proportional to 807,285, 1,114,087.86 and 449,589

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Solution

The fourth proportional to 807,285, 1,114,087.86 and 449,589 is: 620,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,285 : 1,114,087.86 = 449,589 : x
  2. Step 2: Convert to fraction form
    807,285/1,114,087.86 = 449,589/x
  3. Step 3: Cross multiply
    807,285x = 1,114,087.86 × 449,589
  4. Step 4: Simplify right side
    807,285x = 500,881,646,889.54
  5. Step 5: Solve for x
    x = 500,881,646,889.54/807,285
  6. Step 6: Final answer
    x = 620,452.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.