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Finding the Fourth Proportional to 511,351.25, 705,650.33 and 320,469.89

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Solution

The fourth proportional to 511,351.25, 705,650.33 and 320,469.89 is: 442,239.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,351.25 : 705,650.33 = 320,469.89 : x
  2. Step 2: Convert to fraction form
    511,351.25/705,650.33 = 320,469.89/x
  3. Step 3: Cross multiply
    511,351.25x = 705,650.33 × 320,469.89
  4. Step 4: Simplify right side
    511,351.25x = 226,139,680,906.49
  5. Step 5: Solve for x
    x = 226,139,680,906.49/511,351.25
  6. Step 6: Final answer
    x = 442,239.43

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1.5x scale

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.