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Finding the Fourth Proportional to 421,522.08, 632,279.76 and 172,029.12

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Solution

The fourth proportional to 421,522.08, 632,279.76 and 172,029.12 is: 258,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,522.08 : 632,279.76 = 172,029.12 : x
  2. Step 2: Convert to fraction form
    421,522.08/632,279.76 = 172,029.12/x
  3. Step 3: Cross multiply
    421,522.08x = 632,279.76 × 172,029.12
  4. Step 4: Simplify right side
    421,522.08x = 108,770,530,706.61
  5. Step 5: Solve for x
    x = 108,770,530,706.61/421,522.08
  6. Step 6: Final answer
    x = 258,042.31

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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.