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Finding the Fourth Proportional to 421,458.92, 632,188.86 and 172,140.92

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Solution

The fourth proportional to 421,458.92, 632,188.86 and 172,140.92 is: 258,211.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,458.92 : 632,188.86 = 172,140.92 : x
  2. Step 2: Convert to fraction form
    421,458.92/632,188.86 = 172,140.92/x
  3. Step 3: Cross multiply
    421,458.92x = 632,188.86 × 172,140.92
  4. Step 4: Simplify right side
    421,458.92x = 108,825,571,974.15
  5. Step 5: Solve for x
    x = 108,825,571,974.15/421,458.92
  6. Step 6: Final answer
    x = 258,211.58

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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.