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Finding the Fourth Proportional to 331,849.98, 498,273.42 and 189,855.60

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Solution

The fourth proportional to 331,849.98, 498,273.42 and 189,855.60 is: 285,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,849.98 : 498,273.42 = 189,855.60 : x
  2. Step 2: Convert to fraction form
    331,849.98/498,273.42 = 189,855.60/x
  3. Step 3: Cross multiply
    331,849.98x = 498,273.42 × 189,855.60
  4. Step 4: Simplify right side
    331,849.98x = 94,599,999,118.15
  5. Step 5: Solve for x
    x = 94,599,999,118.15/331,849.98
  6. Step 6: Final answer
    x = 285,068.57

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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.