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Finding the Fourth Proportional to 311,020.84, 428,816.40 and 203,420.44

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Solution

The fourth proportional to 311,020.84, 428,816.40 and 203,420.44 is: 280,463.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,020.84 : 428,816.40 = 203,420.44 : x
  2. Step 2: Convert to fraction form
    311,020.84/428,816.40 = 203,420.44/x
  3. Step 3: Cross multiply
    311,020.84x = 428,816.40 × 203,420.44
  4. Step 4: Simplify right side
    311,020.84x = 87,230,020,767.22
  5. Step 5: Solve for x
    x = 87,230,020,767.22/311,020.84
  6. Step 6: Final answer
    x = 280,463.59

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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.