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Finding the Fourth Proportional to 996,000, 1,494,012.96 and 331,152

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Solution

The fourth proportional to 996,000, 1,494,012.96 and 331,152 is: 496,732.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,000 : 1,494,012.96 = 331,152 : x
  2. Step 2: Convert to fraction form
    996,000/1,494,012.96 = 331,152/x
  3. Step 3: Cross multiply
    996,000x = 1,494,012.96 × 331,152
  4. Step 4: Simplify right side
    996,000x = 494,745,379,729.92
  5. Step 5: Solve for x
    x = 494,745,379,729.92/996,000
  6. Step 6: Final answer
    x = 496,732.31

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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.