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Finding the Fourth Proportional to 221,584.32, 332,420.22 and 81,344.16

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Solution

The fourth proportional to 221,584.32, 332,420.22 and 81,344.16 is: 122,032.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,584.32 : 332,420.22 = 81,344.16 : x
  2. Step 2: Convert to fraction form
    221,584.32/332,420.22 = 81,344.16/x
  3. Step 3: Cross multiply
    221,584.32x = 332,420.22 × 81,344.16
  4. Step 4: Simplify right side
    221,584.32x = 27,040,443,562.92
  5. Step 5: Solve for x
    x = 27,040,443,562.92/221,584.32
  6. Step 6: Final answer
    x = 122,032.30

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1.5x scale

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.