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Finding the Fourth Proportional to 285,550.80, 394,059.72 and 158,234.64

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Solution

The fourth proportional to 285,550.80, 394,059.72 and 158,234.64 is: 218,363.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,550.80 : 394,059.72 = 158,234.64 : x
  2. Step 2: Convert to fraction form
    285,550.80/394,059.72 = 158,234.64/x
  3. Step 3: Cross multiply
    285,550.80x = 394,059.72 × 158,234.64
  4. Step 4: Simplify right side
    285,550.80x = 62,353,897,932.70
  5. Step 5: Solve for x
    x = 62,353,897,932.70/285,550.80
  6. Step 6: Final answer
    x = 218,363.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.