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Finding the Fourth Proportional to 382,372.50, 573,435.92 and 126,147.44

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Solution

The fourth proportional to 382,372.50, 573,435.92 and 126,147.44 is: 189,180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,372.50 : 573,435.92 = 126,147.44 : x
  2. Step 2: Convert to fraction form
    382,372.50/573,435.92 = 126,147.44/x
  3. Step 3: Cross multiply
    382,372.50x = 573,435.92 × 126,147.44
  4. Step 4: Simplify right side
    382,372.50x = 72,337,473,312.04
  5. Step 5: Solve for x
    x = 72,337,473,312.04/382,372.50
  6. Step 6: Final answer
    x = 189,180.64

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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.