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Finding the Fourth Proportional to 547,665.12, 755,723.52 and 305,942.49

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Solution

The fourth proportional to 547,665.12, 755,723.52 and 305,942.49 is: 422,170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,665.12 : 755,723.52 = 305,942.49 : x
  2. Step 2: Convert to fraction form
    547,665.12/755,723.52 = 305,942.49/x
  3. Step 3: Cross multiply
    547,665.12x = 755,723.52 × 305,942.49
  4. Step 4: Simplify right side
    547,665.12x = 231,207,935,460.37
  5. Step 5: Solve for x
    x = 231,207,935,460.37/547,665.12
  6. Step 6: Final answer
    x = 422,170.28

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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.