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Finding the Fourth Proportional to 394,020.45, 590,850.86 and 141,203.25

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Solution

The fourth proportional to 394,020.45, 590,850.86 and 141,203.25 is: 211,740.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,020.45 : 590,850.86 = 141,203.25 : x
  2. Step 2: Convert to fraction form
    394,020.45/590,850.86 = 141,203.25/x
  3. Step 3: Cross multiply
    394,020.45x = 590,850.86 × 141,203.25
  4. Step 4: Simplify right side
    394,020.45x = 83,430,060,991.28
  5. Step 5: Solve for x
    x = 83,430,060,991.28/394,020.45
  6. Step 6: Final answer
    x = 211,740.43

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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.