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Finding the Fourth Proportional to 379,432.50, 523,704.15 and 218,380.56

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Solution

The fourth proportional to 379,432.50, 523,704.15 and 218,380.56 is: 301,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,432.50 : 523,704.15 = 218,380.56 : x
  2. Step 2: Convert to fraction form
    379,432.50/523,704.15 = 218,380.56/x
  3. Step 3: Cross multiply
    379,432.50x = 523,704.15 × 218,380.56
  4. Step 4: Simplify right side
    379,432.50x = 114,366,805,551.32
  5. Step 5: Solve for x
    x = 114,366,805,551.32/379,432.50
  6. Step 6: Final answer
    x = 301,415.42

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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.