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Finding the Fourth Proportional to 421,647.75, 632,472.23 and 172,329.75

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Solution

The fourth proportional to 421,647.75, 632,472.23 and 172,329.75 is: 258,494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,647.75 : 632,472.23 = 172,329.75 : x
  2. Step 2: Convert to fraction form
    421,647.75/632,472.23 = 172,329.75/x
  3. Step 3: Cross multiply
    421,647.75x = 632,472.23 × 172,329.75
  4. Step 4: Simplify right side
    421,647.75x = 108,993,781,708.67
  5. Step 5: Solve for x
    x = 108,993,781,708.67/421,647.75
  6. Step 6: Final answer
    x = 258,494.87

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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.