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Finding the Fourth Proportional to 397,204, 548,609.52 and 262,834.72

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Solution

The fourth proportional to 397,204, 548,609.52 and 262,834.72 is: 363,021.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,204 : 548,609.52 = 262,834.72 : x
  2. Step 2: Convert to fraction form
    397,204/548,609.52 = 262,834.72/x
  3. Step 3: Cross multiply
    397,204x = 548,609.52 × 262,834.72
  4. Step 4: Simplify right side
    397,204x = 144,193,629,578.53
  5. Step 5: Solve for x
    x = 144,193,629,578.53/397,204
  6. Step 6: Final answer
    x = 363,021.59

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1.5x scale

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.