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Finding the Fourth Proportional to 394,544.46, 591,127.65 and 328,409.58

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Solution

The fourth proportional to 394,544.46, 591,127.65 and 328,409.58 is: 492,040.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,544.46 : 591,127.65 = 328,409.58 : x
  2. Step 2: Convert to fraction form
    394,544.46/591,127.65 = 328,409.58/x
  3. Step 3: Cross multiply
    394,544.46x = 591,127.65 × 328,409.58
  4. Step 4: Simplify right side
    394,544.46x = 194,131,983,262.89
  5. Step 5: Solve for x
    x = 194,131,983,262.89/394,544.46
  6. Step 6: Final answer
    x = 492,040.83

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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.