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Finding the Fourth Proportional to 285,577.44, 394,099.20 and 158,255.16

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Solution

The fourth proportional to 285,577.44, 394,099.20 and 158,255.16 is: 218,393.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,577.44 : 394,099.20 = 158,255.16 : x
  2. Step 2: Convert to fraction form
    285,577.44/394,099.20 = 158,255.16/x
  3. Step 3: Cross multiply
    285,577.44x = 394,099.20 × 158,255.16
  4. Step 4: Simplify right side
    285,577.44x = 62,368,231,951.87
  5. Step 5: Solve for x
    x = 62,368,231,951.87/285,577.44
  6. Step 6: Final answer
    x = 218,393.41

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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.