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Finding the Fourth Proportional to 395,046, 545,164.56 and 216,198

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Solution

The fourth proportional to 395,046, 545,164.56 and 216,198 is: 298,353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,046 : 545,164.56 = 216,198 : x
  2. Step 2: Convert to fraction form
    395,046/545,164.56 = 216,198/x
  3. Step 3: Cross multiply
    395,046x = 545,164.56 × 216,198
  4. Step 4: Simplify right side
    395,046x = 117,863,487,542.88
  5. Step 5: Solve for x
    x = 117,863,487,542.88/395,046
  6. Step 6: Final answer
    x = 298,353.83

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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.