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Finding the Fourth Proportional to 331,178.98, 496,758.75 and 106,549.78

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Solution

The fourth proportional to 331,178.98, 496,758.75 and 106,549.78 is: 159,821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,178.98 : 496,758.75 = 106,549.78 : x
  2. Step 2: Convert to fraction form
    331,178.98/496,758.75 = 106,549.78/x
  3. Step 3: Cross multiply
    331,178.98x = 496,758.75 × 106,549.78
  4. Step 4: Simplify right side
    331,178.98x = 52,929,535,525.58
  5. Step 5: Solve for x
    x = 52,929,535,525.58/331,178.98
  6. Step 6: Final answer
    x = 159,821.54

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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.