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Finding the Fourth Proportional to 395,168.34, 545,327.58 and 213,876

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Solution

The fourth proportional to 395,168.34, 545,327.58 and 213,876 is: 295,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,168.34 : 545,327.58 = 213,876 : x
  2. Step 2: Convert to fraction form
    395,168.34/545,327.58 = 213,876/x
  3. Step 3: Cross multiply
    395,168.34x = 545,327.58 × 213,876
  4. Step 4: Simplify right side
    395,168.34x = 116,632,481,500.08
  5. Step 5: Solve for x
    x = 116,632,481,500.08/395,168.34
  6. Step 6: Final answer
    x = 295,146.32

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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.