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Finding the Fourth Proportional to 421,433.97, 632,151.54 and 172,115.97

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Solution

The fourth proportional to 421,433.97, 632,151.54 and 172,115.97 is: 258,174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,433.97 : 632,151.54 = 172,115.97 : x
  2. Step 2: Convert to fraction form
    421,433.97/632,151.54 = 172,115.97/x
  3. Step 3: Cross multiply
    421,433.97x = 632,151.54 × 172,115.97
  4. Step 4: Simplify right side
    421,433.97x = 108,803,375,494.09
  5. Step 5: Solve for x
    x = 108,803,375,494.09/421,433.97
  6. Step 6: Final answer
    x = 258,174.19

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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.