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Finding the Fourth Proportional to 392,202,002.60, 588,303,003.90 and 188,128,658.60

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Solution

The fourth proportional to 392,202,002.60, 588,303,003.90 and 188,128,658.60 is: 282,192,987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,202,002.60 : 588,303,003.90 = 188,128,658.60 : x
  2. Step 2: Convert to fraction form
    392,202,002.60/588,303,003.90 = 188,128,658.60/x
  3. Step 3: Cross multiply
    392,202,002.60x = 588,303,003.90 × 188,128,658.60
  4. Step 4: Simplify right side
    392,202,002.60x = 110,676,654,974,057,568
  5. Step 5: Solve for x
    x = 110,676,654,974,057,568/392,202,002.60
  6. Step 6: Final answer
    x = 282,192,987.90

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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.