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Finding the Fourth Proportional to 262,008, 393,012 and 65,016

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Solution

The fourth proportional to 262,008, 393,012 and 65,016 is: 97,524

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,008 : 393,012 = 65,016 : x
  2. Step 2: Convert to fraction form
    262,008/393,012 = 65,016/x
  3. Step 3: Cross multiply
    262,008x = 393,012 × 65,016
  4. Step 4: Simplify right side
    262,008x = 25,552,068,192
  5. Step 5: Solve for x
    x = 25,552,068,192/262,008
  6. Step 6: Final answer
    x = 97,524

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.