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Finding the Fourth Proportional to 394,991.82, 592,347.60 and 142,204.46

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Solution

The fourth proportional to 394,991.82, 592,347.60 and 142,204.46 is: 213,256.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,991.82 : 592,347.60 = 142,204.46 : x
  2. Step 2: Convert to fraction form
    394,991.82/592,347.60 = 142,204.46/x
  3. Step 3: Cross multiply
    394,991.82x = 592,347.60 × 142,204.46
  4. Step 4: Simplify right side
    394,991.82x = 84,234,467,628.56
  5. Step 5: Solve for x
    x = 84,234,467,628.56/394,991.82
  6. Step 6: Final answer
    x = 213,256.23

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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.