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Finding the Fourth Proportional to 381,446.37, 571,770.72 and 128,639.52

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Solution

The fourth proportional to 381,446.37, 571,770.72 and 128,639.52 is: 192,824.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,446.37 : 571,770.72 = 128,639.52 : x
  2. Step 2: Convert to fraction form
    381,446.37/571,770.72 = 128,639.52/x
  3. Step 3: Cross multiply
    381,446.37x = 571,770.72 × 128,639.52
  4. Step 4: Simplify right side
    381,446.37x = 73,552,310,970.85
  5. Step 5: Solve for x
    x = 73,552,310,970.85/381,446.37
  6. Step 6: Final answer
    x = 192,824.78

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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.