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Finding the Fourth Proportional to 394,950.96, 592,468.15 and 128,732.31

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Solution

The fourth proportional to 394,950.96, 592,468.15 and 128,732.31 is: 193,112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,950.96 : 592,468.15 = 128,732.31 : x
  2. Step 2: Convert to fraction form
    394,950.96/592,468.15 = 128,732.31/x
  3. Step 3: Cross multiply
    394,950.96x = 592,468.15 × 128,732.31
  4. Step 4: Simplify right side
    394,950.96x = 76,269,793,550.93
  5. Step 5: Solve for x
    x = 76,269,793,550.93/394,950.96
  6. Step 6: Final answer
    x = 193,112.06

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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.