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Finding the Fourth Proportional to 313,906.97, 433,260.41 and 206,487.60

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Solution

The fourth proportional to 313,906.97, 433,260.41 and 206,487.60 is: 284,998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,906.97 : 433,260.41 = 206,487.60 : x
  2. Step 2: Convert to fraction form
    313,906.97/433,260.41 = 206,487.60/x
  3. Step 3: Cross multiply
    313,906.97x = 433,260.41 × 206,487.60
  4. Step 4: Simplify right side
    313,906.97x = 89,462,901,203.48
  5. Step 5: Solve for x
    x = 89,462,901,203.48/313,906.97
  6. Step 6: Final answer
    x = 284,998.14

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1.5x scale

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.