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Finding the Fourth Proportional to 272,300.78, 408,024.42 and 172,249.64

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Solution

The fourth proportional to 272,300.78, 408,024.42 and 172,249.64 is: 258,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,300.78 : 408,024.42 = 172,249.64 : x
  2. Step 2: Convert to fraction form
    272,300.78/408,024.42 = 172,249.64/x
  3. Step 3: Cross multiply
    272,300.78x = 408,024.42 × 172,249.64
  4. Step 4: Simplify right side
    272,300.78x = 70,282,059,456.21
  5. Step 5: Solve for x
    x = 70,282,059,456.21/272,300.78
  6. Step 6: Final answer
    x = 258,104.51

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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.