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Finding the Fourth Proportional to 382,757.22, 528,270.53 and 221,711.40

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Solution

The fourth proportional to 382,757.22, 528,270.53 and 221,711.40 is: 305,999.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,757.22 : 528,270.53 = 221,711.40 : x
  2. Step 2: Convert to fraction form
    382,757.22/528,270.53 = 221,711.40/x
  3. Step 3: Cross multiply
    382,757.22x = 528,270.53 × 221,711.40
  4. Step 4: Simplify right side
    382,757.22x = 117,123,597,676.49
  5. Step 5: Solve for x
    x = 117,123,597,676.49/382,757.22
  6. Step 6: Final answer
    x = 305,999.71

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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.