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Finding the Fourth Proportional to 394,699.23, 591,909.12 and 128,410.11

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Solution

The fourth proportional to 394,699.23, 591,909.12 and 128,410.11 is: 192,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,699.23 : 591,909.12 = 128,410.11 : x
  2. Step 2: Convert to fraction form
    394,699.23/591,909.12 = 128,410.11/x
  3. Step 3: Cross multiply
    394,699.23x = 591,909.12 × 128,410.11
  4. Step 4: Simplify right side
    394,699.23x = 76,007,115,209.20
  5. Step 5: Solve for x
    x = 76,007,115,209.20/394,699.23
  6. Step 6: Final answer
    x = 192,569.71

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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.