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Finding the Fourth Proportional to 395,253.76, 545,446.96 and 213,962

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Solution

The fourth proportional to 395,253.76, 545,446.96 and 213,962 is: 295,265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,253.76 : 545,446.96 = 213,962 : x
  2. Step 2: Convert to fraction form
    395,253.76/545,446.96 = 213,962/x
  3. Step 3: Cross multiply
    395,253.76x = 545,446.96 × 213,962
  4. Step 4: Simplify right side
    395,253.76x = 116,704,922,455.52
  5. Step 5: Solve for x
    x = 116,704,922,455.52/395,253.76
  6. Step 6: Final answer
    x = 295,265.81

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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.