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Finding the Fourth Proportional to 394,220.70, 591,201.45 and 144,870.30

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Solution

The fourth proportional to 394,220.70, 591,201.45 and 144,870.30 is: 217,257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,220.70 : 591,201.45 = 144,870.30 : x
  2. Step 2: Convert to fraction form
    394,220.70/591,201.45 = 144,870.30/x
  3. Step 3: Cross multiply
    394,220.70x = 591,201.45 × 144,870.30
  4. Step 4: Simplify right side
    394,220.70x = 85,647,531,421.94
  5. Step 5: Solve for x
    x = 85,647,531,421.94/394,220.70
  6. Step 6: Final answer
    x = 217,257.82

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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.