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Finding the Fourth Proportional to 285,243.41, 393,635.22 and 164,383.64

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Solution

The fourth proportional to 285,243.41, 393,635.22 and 164,383.64 is: 226,849.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,243.41 : 393,635.22 = 164,383.64 : x
  2. Step 2: Convert to fraction form
    285,243.41/393,635.22 = 164,383.64/x
  3. Step 3: Cross multiply
    285,243.41x = 393,635.22 × 164,383.64
  4. Step 4: Simplify right side
    285,243.41x = 64,707,190,295.80
  5. Step 5: Solve for x
    x = 64,707,190,295.80/285,243.41
  6. Step 6: Final answer
    x = 226,849.03

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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.