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Finding the Fourth Proportional to 221,330.43, 305,436 and 120,728.43

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Solution

The fourth proportional to 221,330.43, 305,436 and 120,728.43 is: 166,605.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,330.43 : 305,436 = 120,728.43 : x
  2. Step 2: Convert to fraction form
    221,330.43/305,436 = 120,728.43/x
  3. Step 3: Cross multiply
    221,330.43x = 305,436 × 120,728.43
  4. Step 4: Simplify right side
    221,330.43x = 36,874,808,745.48
  5. Step 5: Solve for x
    x = 36,874,808,745.48/221,330.43
  6. Step 6: Final answer
    x = 166,605.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.