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Finding the Fourth Proportional to 547,057.98, 754,978.05 and 305,387.73

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Solution

The fourth proportional to 547,057.98, 754,978.05 and 305,387.73 is: 421,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,057.98 : 754,978.05 = 305,387.73 : x
  2. Step 2: Convert to fraction form
    547,057.98/754,978.05 = 305,387.73/x
  3. Step 3: Cross multiply
    547,057.98x = 754,978.05 × 305,387.73
  4. Step 4: Simplify right side
    547,057.98x = 230,561,032,889.33
  5. Step 5: Solve for x
    x = 230,561,032,889.33/547,057.98
  6. Step 6: Final answer
    x = 421,456.30

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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.