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Finding the Fourth Proportional to 285,164, 393,630.16 and 165,932

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Solution

The fourth proportional to 285,164, 393,630.16 and 165,932 is: 229,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,164 : 393,630.16 = 165,932 : x
  2. Step 2: Convert to fraction form
    285,164/393,630.16 = 165,932/x
  3. Step 3: Cross multiply
    285,164x = 393,630.16 × 165,932
  4. Step 4: Simplify right side
    285,164x = 65,315,839,709.12
  5. Step 5: Solve for x
    x = 65,315,839,709.12/285,164
  6. Step 6: Final answer
    x = 229,046.58

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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.