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Finding the Fourth Proportional to 391,441.20, 587,392.20 and 142,090.80

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Solution

The fourth proportional to 391,441.20, 587,392.20 and 142,090.80 is: 213,219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,441.20 : 587,392.20 = 142,090.80 : x
  2. Step 2: Convert to fraction form
    391,441.20/587,392.20 = 142,090.80/x
  3. Step 3: Cross multiply
    391,441.20x = 587,392.20 × 142,090.80
  4. Step 4: Simplify right side
    391,441.20x = 83,463,027,611.76
  5. Step 5: Solve for x
    x = 83,463,027,611.76/391,441.20
  6. Step 6: Final answer
    x = 213,219.83

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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.