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Finding the Fourth Proportional to 378,654.17, 567,460.27 and 162,253.85

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Solution

The fourth proportional to 378,654.17, 567,460.27 and 162,253.85 is: 243,157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,654.17 : 567,460.27 = 162,253.85 : x
  2. Step 2: Convert to fraction form
    378,654.17/567,460.27 = 162,253.85/x
  3. Step 3: Cross multiply
    378,654.17x = 567,460.27 × 162,253.85
  4. Step 4: Simplify right side
    378,654.17x = 92,072,614,542.56
  5. Step 5: Solve for x
    x = 92,072,614,542.56/378,654.17
  6. Step 6: Final answer
    x = 243,157.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.