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Finding the Fourth Proportional to 283,380.21, 424,996.49 and 133,580.73

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Solution

The fourth proportional to 283,380.21, 424,996.49 and 133,580.73 is: 200,336.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,380.21 : 424,996.49 = 133,580.73 : x
  2. Step 2: Convert to fraction form
    283,380.21/424,996.49 = 133,580.73/x
  3. Step 3: Cross multiply
    283,380.21x = 424,996.49 × 133,580.73
  4. Step 4: Simplify right side
    283,380.21x = 56,771,340,713.73
  5. Step 5: Solve for x
    x = 56,771,340,713.73/283,380.21
  6. Step 6: Final answer
    x = 200,336.29

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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.