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Finding the Fourth Proportional to 421,874.08, 632,912.64 and 172,556.80

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Solution

The fourth proportional to 421,874.08, 632,912.64 and 172,556.80 is: 258,876.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,874.08 : 632,912.64 = 172,556.80 : x
  2. Step 2: Convert to fraction form
    421,874.08/632,912.64 = 172,556.80/x
  3. Step 3: Cross multiply
    421,874.08x = 632,912.64 × 172,556.80
  4. Step 4: Simplify right side
    421,874.08x = 109,213,379,837.95
  5. Step 5: Solve for x
    x = 109,213,379,837.95/421,874.08
  6. Step 6: Final answer
    x = 258,876.72

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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.