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Finding the Fourth Proportional to 313,372,906.80, 470,213,843.40 and 140,971,729.20

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Solution

The fourth proportional to 313,372,906.80, 470,213,843.40 and 140,971,729.20 is: 211,527,088.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,372,906.80 : 470,213,843.40 = 140,971,729.20 : x
  2. Step 2: Convert to fraction form
    313,372,906.80/470,213,843.40 = 140,971,729.20/x
  3. Step 3: Cross multiply
    313,372,906.80x = 470,213,843.40 × 140,971,729.20
  4. Step 4: Simplify right side
    313,372,906.80x = 66,286,858,597,876,000
  5. Step 5: Solve for x
    x = 66,286,858,597,876,000/313,372,906.80
  6. Step 6: Final answer
    x = 211,527,088.52

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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.