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Finding the Fourth Proportional to 547,193.78, 755,049.33 and 305,471.05

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Solution

The fourth proportional to 547,193.78, 755,049.33 and 305,471.05 is: 421,506.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,193.78 : 755,049.33 = 305,471.05 : x
  2. Step 2: Convert to fraction form
    547,193.78/755,049.33 = 305,471.05/x
  3. Step 3: Cross multiply
    547,193.78x = 755,049.33 × 305,471.05
  4. Step 4: Simplify right side
    547,193.78x = 230,645,711,636.90
  5. Step 5: Solve for x
    x = 230,645,711,636.90/547,193.78
  6. Step 6: Final answer
    x = 421,506.46

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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.