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Finding the Fourth Proportional to 383,453.80, 530,122.84 and 287,794.42

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Solution

The fourth proportional to 383,453.80, 530,122.84 and 287,794.42 is: 397,874.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,453.80 : 530,122.84 = 287,794.42 : x
  2. Step 2: Convert to fraction form
    383,453.80/530,122.84 = 287,794.42/x
  3. Step 3: Cross multiply
    383,453.80x = 530,122.84 × 287,794.42
  4. Step 4: Simplify right side
    383,453.80x = 152,566,396,951.60
  5. Step 5: Solve for x
    x = 152,566,396,951.60/383,453.80
  6. Step 6: Final answer
    x = 397,874.26

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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.