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Finding the Fourth Proportional to 311,789,729.60, 437,222,257.60 and 311,789,729.60

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Solution

The fourth proportional to 311,789,729.60, 437,222,257.60 and 311,789,729.60 is: 437,222,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,789,729.60 : 437,222,257.60 = 311,789,729.60 : x
  2. Step 2: Convert to fraction form
    311,789,729.60/437,222,257.60 = 311,789,729.60/x
  3. Step 3: Cross multiply
    311,789,729.60x = 437,222,257.60 × 311,789,729.60
  4. Step 4: Simplify right side
    311,789,729.60x = 136,321,409,472,205,568
  5. Step 5: Solve for x
    x = 136,321,409,472,205,568/311,789,729.60
  6. Step 6: Final answer
    x = 437,222,257.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.