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Finding the Fourth Proportional to 391,865.59, 587,964.80 and 214,165

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Solution

The fourth proportional to 391,865.59, 587,964.80 and 214,165 is: 321,338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,865.59 : 587,964.80 = 214,165 : x
  2. Step 2: Convert to fraction form
    391,865.59/587,964.80 = 214,165/x
  3. Step 3: Cross multiply
    391,865.59x = 587,964.80 × 214,165
  4. Step 4: Simplify right side
    391,865.59x = 125,921,481,392.00
  5. Step 5: Solve for x
    x = 125,921,481,392.00/391,865.59
  6. Step 6: Final answer
    x = 321,338.45

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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.