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Finding the Fourth Proportional to 284,103.80, 425,766.90 and 189,063.80

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Solution

The fourth proportional to 284,103.80, 425,766.90 and 189,063.80 is: 283,336.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,103.80 : 425,766.90 = 189,063.80 : x
  2. Step 2: Convert to fraction form
    284,103.80/425,766.90 = 189,063.80/x
  3. Step 3: Cross multiply
    284,103.80x = 425,766.90 × 189,063.80
  4. Step 4: Simplify right side
    284,103.80x = 80,497,108,028.22
  5. Step 5: Solve for x
    x = 80,497,108,028.22/284,103.80
  6. Step 6: Final answer
    x = 283,336.96

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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.