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Finding the Fourth Proportional to 421,410.38, 632,116.17 and 172,092.38

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Solution

The fourth proportional to 421,410.38, 632,116.17 and 172,092.38 is: 258,138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,410.38 : 632,116.17 = 172,092.38 : x
  2. Step 2: Convert to fraction form
    421,410.38/632,116.17 = 172,092.38/x
  3. Step 3: Cross multiply
    421,410.38x = 632,116.17 × 172,092.38
  4. Step 4: Simplify right side
    421,410.38x = 108,782,372,971.20
  5. Step 5: Solve for x
    x = 108,782,372,971.20/421,410.38
  6. Step 6: Final answer
    x = 258,138.81

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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.