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Finding the Fourth Proportional to 391,761, 587,807.78 and 214,060.42

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Solution

The fourth proportional to 391,761, 587,807.78 and 214,060.42 is: 321,181.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,761 : 587,807.78 = 214,060.42 : x
  2. Step 2: Convert to fraction form
    391,761/587,807.78 = 214,060.42/x
  3. Step 3: Cross multiply
    391,761x = 587,807.78 × 214,060.42
  4. Step 4: Simplify right side
    391,761x = 125,826,380,266.07
  5. Step 5: Solve for x
    x = 125,826,380,266.07/391,761
  6. Step 6: Final answer
    x = 321,181.49

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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.