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Finding the Fourth Proportional to 289,375.90, 433,999.05 and 190,231.90

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Solution

The fourth proportional to 289,375.90, 433,999.05 and 190,231.90 is: 285,305.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,375.90 : 433,999.05 = 190,231.90 : x
  2. Step 2: Convert to fraction form
    289,375.90/433,999.05 = 190,231.90/x
  3. Step 3: Cross multiply
    289,375.90x = 433,999.05 × 190,231.90
  4. Step 4: Simplify right side
    289,375.90x = 82,560,463,879.70
  5. Step 5: Solve for x
    x = 82,560,463,879.70/289,375.90
  6. Step 6: Final answer
    x = 285,305.25

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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.