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Finding the Fourth Proportional to 309,149.88, 463,709.40 and 181,138.56

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Solution

The fourth proportional to 309,149.88, 463,709.40 and 181,138.56 is: 271,698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,149.88 : 463,709.40 = 181,138.56 : x
  2. Step 2: Convert to fraction form
    309,149.88/463,709.40 = 181,138.56/x
  3. Step 3: Cross multiply
    309,149.88x = 463,709.40 × 181,138.56
  4. Step 4: Simplify right side
    309,149.88x = 83,995,652,974.46
  5. Step 5: Solve for x
    x = 83,995,652,974.46/309,149.88
  6. Step 6: Final answer
    x = 271,698.81

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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.