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Finding the Fourth Proportional to 289,369.60, 399,311.04 and 162,016

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Solution

The fourth proportional to 289,369.60, 399,311.04 and 162,016 is: 223,571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,369.60 : 399,311.04 = 162,016 : x
  2. Step 2: Convert to fraction form
    289,369.60/399,311.04 = 162,016/x
  3. Step 3: Cross multiply
    289,369.60x = 399,311.04 × 162,016
  4. Step 4: Simplify right side
    289,369.60x = 64,694,777,456.64
  5. Step 5: Solve for x
    x = 64,694,777,456.64/289,369.60
  6. Step 6: Final answer
    x = 223,571.44

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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.