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Finding the Fourth Proportional to 667,463.52, 920,961.60 and 381,076.80

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Solution

The fourth proportional to 667,463.52, 920,961.60 and 381,076.80 is: 525,807.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,463.52 : 920,961.60 = 381,076.80 : x
  2. Step 2: Convert to fraction form
    667,463.52/920,961.60 = 381,076.80/x
  3. Step 3: Cross multiply
    667,463.52x = 920,961.60 × 381,076.80
  4. Step 4: Simplify right side
    667,463.52x = 350,957,099,450.88
  5. Step 5: Solve for x
    x = 350,957,099,450.88/667,463.52
  6. Step 6: Final answer
    x = 525,807.16

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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.