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Finding the Fourth Proportional to 394,106.28, 591,394.94 and 144,813.48

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Solution

The fourth proportional to 394,106.28, 591,394.94 and 144,813.48 is: 217,306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,106.28 : 591,394.94 = 144,813.48 : x
  2. Step 2: Convert to fraction form
    394,106.28/591,394.94 = 144,813.48/x
  3. Step 3: Cross multiply
    394,106.28x = 591,394.94 × 144,813.48
  4. Step 4: Simplify right side
    394,106.28x = 85,641,959,315.79
  5. Step 5: Solve for x
    x = 85,641,959,315.79/394,106.28
  6. Step 6: Final answer
    x = 217,306.76

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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.