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Finding the Fourth Proportional to 455,704.28, 682,961.86 and 329,768.72

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Solution

The fourth proportional to 455,704.28, 682,961.86 and 329,768.72 is: 494,222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,704.28 : 682,961.86 = 329,768.72 : x
  2. Step 2: Convert to fraction form
    455,704.28/682,961.86 = 329,768.72/x
  3. Step 3: Cross multiply
    455,704.28x = 682,961.86 × 329,768.72
  4. Step 4: Simplify right side
    455,704.28x = 225,219,458,381.02
  5. Step 5: Solve for x
    x = 225,219,458,381.02/455,704.28
  6. Step 6: Final answer
    x = 494,222.83

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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.