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Finding the Fourth Proportional to 309,221.97, 463,846.94 and 84,577.38

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Solution

The fourth proportional to 309,221.97, 463,846.94 and 84,577.38 is: 126,869.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,221.97 : 463,846.94 = 84,577.38 : x
  2. Step 2: Convert to fraction form
    309,221.97/463,846.94 = 84,577.38/x
  3. Step 3: Cross multiply
    309,221.97x = 463,846.94 × 84,577.38
  4. Step 4: Simplify right side
    309,221.97x = 39,230,958,483.33
  5. Step 5: Solve for x
    x = 39,230,958,483.33/309,221.97
  6. Step 6: Final answer
    x = 126,869.89

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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.