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Finding the Fourth Proportional to 391,869.86, 587,971.22 and 214,169.26

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Solution

The fourth proportional to 391,869.86, 587,971.22 and 214,169.26 is: 321,344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,869.86 : 587,971.22 = 214,169.26 : x
  2. Step 2: Convert to fraction form
    391,869.86/587,971.22 = 214,169.26/x
  3. Step 3: Cross multiply
    391,869.86x = 587,971.22 × 214,169.26
  4. Step 4: Simplify right side
    391,869.86x = 125,925,361,088.70
  5. Step 5: Solve for x
    x = 125,925,361,088.70/391,869.86
  6. Step 6: Final answer
    x = 321,344.85

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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.