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Finding the Fourth Proportional to 285,517.44, 394,013.88 and 164,656.98

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Solution

The fourth proportional to 285,517.44, 394,013.88 and 164,656.98 is: 227,226.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,517.44 : 394,013.88 = 164,656.98 : x
  2. Step 2: Convert to fraction form
    285,517.44/394,013.88 = 164,656.98/x
  3. Step 3: Cross multiply
    285,517.44x = 394,013.88 × 164,656.98
  4. Step 4: Simplify right side
    285,517.44x = 64,877,135,558.88
  5. Step 5: Solve for x
    x = 64,877,135,558.88/285,517.44
  6. Step 6: Final answer
    x = 227,226.52

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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.