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Finding the Fourth Proportional to 285,212, 393,696.24 and 165,980

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Solution

The fourth proportional to 285,212, 393,696.24 and 165,980 is: 229,112.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,212 : 393,696.24 = 165,980 : x
  2. Step 2: Convert to fraction form
    285,212/393,696.24 = 165,980/x
  3. Step 3: Cross multiply
    285,212x = 393,696.24 × 165,980
  4. Step 4: Simplify right side
    285,212x = 65,345,701,915.20
  5. Step 5: Solve for x
    x = 65,345,701,915.20/285,212
  6. Step 6: Final answer
    x = 229,112.74

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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.