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Finding the Fourth Proportional to 309,452, 427,183.65 and 194,899

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Solution

The fourth proportional to 309,452, 427,183.65 and 194,899 is: 269,048.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,452 : 427,183.65 = 194,899 : x
  2. Step 2: Convert to fraction form
    309,452/427,183.65 = 194,899/x
  3. Step 3: Cross multiply
    309,452x = 427,183.65 × 194,899
  4. Step 4: Simplify right side
    309,452x = 83,257,666,201.35
  5. Step 5: Solve for x
    x = 83,257,666,201.35/309,452
  6. Step 6: Final answer
    x = 269,048.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.