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Finding the Fourth Proportional to 547,189.45, 820,131.17 and 254,675.64

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Solution

The fourth proportional to 547,189.45, 820,131.17 and 254,675.64 is: 381,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,189.45 : 820,131.17 = 254,675.64 : x
  2. Step 2: Convert to fraction form
    547,189.45/820,131.17 = 254,675.64/x
  3. Step 3: Cross multiply
    547,189.45x = 820,131.17 × 254,675.64
  4. Step 4: Simplify right side
    547,189.45x = 208,867,433,873.43
  5. Step 5: Solve for x
    x = 208,867,433,873.43/547,189.45
  6. Step 6: Final answer
    x = 381,709.54

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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.