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Finding the Fourth Proportional to 421,410.44, 632,116.18 and 172,092.44

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Solution

The fourth proportional to 421,410.44, 632,116.18 and 172,092.44 is: 258,138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,410.44 : 632,116.18 = 172,092.44 : x
  2. Step 2: Convert to fraction form
    421,410.44/632,116.18 = 172,092.44/x
  3. Step 3: Cross multiply
    421,410.44x = 632,116.18 × 172,092.44
  4. Step 4: Simplify right side
    421,410.44x = 108,782,415,779.68
  5. Step 5: Solve for x
    x = 108,782,415,779.68/421,410.44
  6. Step 6: Final answer
    x = 258,138.87

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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.