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Finding the Fourth Proportional to 547,548.42, 755,608.86 and 305,834.43

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Solution

The fourth proportional to 547,548.42, 755,608.86 and 305,834.43 is: 422,047.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,548.42 : 755,608.86 = 305,834.43 : x
  2. Step 2: Convert to fraction form
    547,548.42/755,608.86 = 305,834.43/x
  3. Step 3: Cross multiply
    547,548.42x = 755,608.86 × 305,834.43
  4. Step 4: Simplify right side
    547,548.42x = 231,091,205,001.05
  5. Step 5: Solve for x
    x = 231,091,205,001.05/547,548.42
  6. Step 6: Final answer
    x = 422,047.07

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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.