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Finding the Fourth Proportional to 391,759.56, 587,805.38 and 214,058.98

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Solution

The fourth proportional to 391,759.56, 587,805.38 and 214,058.98 is: 321,179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,759.56 : 587,805.38 = 214,058.98 : x
  2. Step 2: Convert to fraction form
    391,759.56/587,805.38 = 214,058.98/x
  3. Step 3: Cross multiply
    391,759.56x = 587,805.38 × 214,058.98
  4. Step 4: Simplify right side
    391,759.56x = 125,825,020,548.50
  5. Step 5: Solve for x
    x = 125,825,020,548.50/391,759.56
  6. Step 6: Final answer
    x = 321,179.20

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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.