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Finding the Fourth Proportional to 394,716.16, 591,221.31 and 207,334

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Solution

The fourth proportional to 394,716.16, 591,221.31 and 207,334 is: 310,552.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,716.16 : 591,221.31 = 207,334 : x
  2. Step 2: Convert to fraction form
    394,716.16/591,221.31 = 207,334/x
  3. Step 3: Cross multiply
    394,716.16x = 591,221.31 × 207,334
  4. Step 4: Simplify right side
    394,716.16x = 122,580,279,087.54
  5. Step 5: Solve for x
    x = 122,580,279,087.54/394,716.16
  6. Step 6: Final answer
    x = 310,552.98

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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.