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Finding the Fourth Proportional to 394,663.32, 592,057.02 and 128,361.56

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Solution

The fourth proportional to 394,663.32, 592,057.02 and 128,361.56 is: 192,562.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,663.32 : 592,057.02 = 128,361.56 : x
  2. Step 2: Convert to fraction form
    394,663.32/592,057.02 = 128,361.56/x
  3. Step 3: Cross multiply
    394,663.32x = 592,057.02 × 128,361.56
  4. Step 4: Simplify right side
    394,663.32x = 75,997,359,495.19
  5. Step 5: Solve for x
    x = 75,997,359,495.19/394,663.32
  6. Step 6: Final answer
    x = 192,562.51

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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.