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Finding the Fourth Proportional to 391,868.86, 587,969.72 and 214,168.26

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Solution

The fourth proportional to 391,868.86, 587,969.72 and 214,168.26 is: 321,343.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,868.86 : 587,969.72 = 214,168.26 : x
  2. Step 2: Convert to fraction form
    391,868.86/587,969.72 = 214,168.26/x
  3. Step 3: Cross multiply
    391,868.86x = 587,969.72 × 214,168.26
  4. Step 4: Simplify right side
    391,868.86x = 125,924,451,865.09
  5. Step 5: Solve for x
    x = 125,924,451,865.09/391,868.86
  6. Step 6: Final answer
    x = 321,343.35

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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.