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Finding the Fourth Proportional to 285,899, 394,530.50 and 158,586.44

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Solution

The fourth proportional to 285,899, 394,530.50 and 158,586.44 is: 218,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,899 : 394,530.50 = 158,586.44 : x
  2. Step 2: Convert to fraction form
    285,899/394,530.50 = 158,586.44/x
  3. Step 3: Cross multiply
    285,899x = 394,530.50 × 158,586.44
  4. Step 4: Simplify right side
    285,899x = 62,567,187,466.42
  5. Step 5: Solve for x
    x = 62,567,187,466.42/285,899
  6. Step 6: Final answer
    x = 218,843.67

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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.