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Finding the Fourth Proportional to 269,204.70, 403,353.45 and 212,828.70

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Solution

The fourth proportional to 269,204.70, 403,353.45 and 212,828.70 is: 318,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,204.70 : 403,353.45 = 212,828.70 : x
  2. Step 2: Convert to fraction form
    269,204.70/403,353.45 = 212,828.70/x
  3. Step 3: Cross multiply
    269,204.70x = 403,353.45 × 212,828.70
  4. Step 4: Simplify right side
    269,204.70x = 85,845,190,404.02
  5. Step 5: Solve for x
    x = 85,845,190,404.02/269,204.70
  6. Step 6: Final answer
    x = 318,884.44

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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.