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Finding the Fourth Proportional to 391,867.59, 587,967.80 and 214,167

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Solution

The fourth proportional to 391,867.59, 587,967.80 and 214,167 is: 321,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,867.59 : 587,967.80 = 214,167 : x
  2. Step 2: Convert to fraction form
    391,867.59/587,967.80 = 214,167/x
  3. Step 3: Cross multiply
    391,867.59x = 587,967.80 × 214,167
  4. Step 4: Simplify right side
    391,867.59x = 125,923,299,822.60
  5. Step 5: Solve for x
    x = 125,923,299,822.60/391,867.59
  6. Step 6: Final answer
    x = 321,341.45

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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.