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Finding the Fourth Proportional to 329,147.85, 454,404.81 and 206,767.89

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Solution

The fourth proportional to 329,147.85, 454,404.81 and 206,767.89 is: 285,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,147.85 : 454,404.81 = 206,767.89 : x
  2. Step 2: Convert to fraction form
    329,147.85/454,404.81 = 206,767.89/x
  3. Step 3: Cross multiply
    329,147.85x = 454,404.81 × 206,767.89
  4. Step 4: Simplify right side
    329,147.85x = 93,956,323,769.55
  5. Step 5: Solve for x
    x = 93,956,323,769.55/329,147.85
  6. Step 6: Final answer
    x = 285,453.25

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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.