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Finding the Fourth Proportional to 309,249.48, 463,477.81 and 269,101.62

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Solution

The fourth proportional to 309,249.48, 463,477.81 and 269,101.62 is: 403,307.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,249.48 : 463,477.81 = 269,101.62 : x
  2. Step 2: Convert to fraction form
    309,249.48/463,477.81 = 269,101.62/x
  3. Step 3: Cross multiply
    309,249.48x = 463,477.81 × 269,101.62
  4. Step 4: Simplify right side
    309,249.48x = 124,722,629,505.05
  5. Step 5: Solve for x
    x = 124,722,629,505.05/309,249.48
  6. Step 6: Final answer
    x = 403,307.48

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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.