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Finding the Fourth Proportional to 421,667.24, 632,370.70 and 221,879.12

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Solution

The fourth proportional to 421,667.24, 632,370.70 and 221,879.12 is: 332,750.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,667.24 : 632,370.70 = 221,879.12 : x
  2. Step 2: Convert to fraction form
    421,667.24/632,370.70 = 221,879.12/x
  3. Step 3: Cross multiply
    421,667.24x = 632,370.70 × 221,879.12
  4. Step 4: Simplify right side
    421,667.24x = 140,309,854,429.78
  5. Step 5: Solve for x
    x = 140,309,854,429.78/421,667.24
  6. Step 6: Final answer
    x = 332,750.19

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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.