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Finding the Fourth Proportional to 320,274, 441,978.12 and 178,962

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Solution

The fourth proportional to 320,274, 441,978.12 and 178,962 is: 246,967.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,274 : 441,978.12 = 178,962 : x
  2. Step 2: Convert to fraction form
    320,274/441,978.12 = 178,962/x
  3. Step 3: Cross multiply
    320,274x = 441,978.12 × 178,962
  4. Step 4: Simplify right side
    320,274x = 79,097,288,311.44
  5. Step 5: Solve for x
    x = 79,097,288,311.44/320,274
  6. Step 6: Final answer
    x = 246,967.56

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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.