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Finding the Fourth Proportional to 285,495.63, 393,996.87 and 158,171.22

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Solution

The fourth proportional to 285,495.63, 393,996.87 and 158,171.22 is: 218,283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,495.63 : 393,996.87 = 158,171.22 : x
  2. Step 2: Convert to fraction form
    285,495.63/393,996.87 = 158,171.22/x
  3. Step 3: Cross multiply
    285,495.63x = 393,996.87 × 158,171.22
  4. Step 4: Simplify right side
    285,495.63x = 62,318,965,604.08
  5. Step 5: Solve for x
    x = 62,318,965,604.08/285,495.63
  6. Step 6: Final answer
    x = 218,283.43

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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.