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Finding the Fourth Proportional to 270,190, 405,285 and 73,198

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Solution

The fourth proportional to 270,190, 405,285 and 73,198 is: 109,797

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,190 : 405,285 = 73,198 : x
  2. Step 2: Convert to fraction form
    270,190/405,285 = 73,198/x
  3. Step 3: Cross multiply
    270,190x = 405,285 × 73,198
  4. Step 4: Simplify right side
    270,190x = 29,666,051,430
  5. Step 5: Solve for x
    x = 29,666,051,430/270,190
  6. Step 6: Final answer
    x = 109,797

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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.