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Finding the Fourth Proportional to 395,109.92, 545,247.52 and 213,817.92

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Solution

The fourth proportional to 395,109.92, 545,247.52 and 213,817.92 is: 295,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,109.92 : 545,247.52 = 213,817.92 : x
  2. Step 2: Convert to fraction form
    395,109.92/545,247.52 = 213,817.92/x
  3. Step 3: Cross multiply
    395,109.92x = 545,247.52 × 213,817.92
  4. Step 4: Simplify right side
    395,109.92x = 116,583,690,611.56
  5. Step 5: Solve for x
    x = 116,583,690,611.56/395,109.92
  6. Step 6: Final answer
    x = 295,066.47

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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.