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Finding the Fourth Proportional to 342,169.79, 513,078.75 and 200,046.38

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Solution

The fourth proportional to 342,169.79, 513,078.75 and 200,046.38 is: 299,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,169.79 : 513,078.75 = 200,046.38 : x
  2. Step 2: Convert to fraction form
    342,169.79/513,078.75 = 200,046.38/x
  3. Step 3: Cross multiply
    342,169.79x = 513,078.75 × 200,046.38
  4. Step 4: Simplify right side
    342,169.79x = 102,639,544,027.03
  5. Step 5: Solve for x
    x = 102,639,544,027.03/342,169.79
  6. Step 6: Final answer
    x = 299,966.71

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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.