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Finding the Fourth Proportional to 331,978.20, 497,967.30 and 82,660.20

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Solution

The fourth proportional to 331,978.20, 497,967.30 and 82,660.20 is: 123,990.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,978.20 : 497,967.30 = 82,660.20 : x
  2. Step 2: Convert to fraction form
    331,978.20/497,967.30 = 82,660.20/x
  3. Step 3: Cross multiply
    331,978.20x = 497,967.30 × 82,660.20
  4. Step 4: Simplify right side
    331,978.20x = 41,162,076,611.46
  5. Step 5: Solve for x
    x = 41,162,076,611.46/331,978.20
  6. Step 6: Final answer
    x = 123,990.30

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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.