Finding the Fourth Proportional to 394,024,624,679.58, 590,884,135,351.60 and 135,526,225,072.54
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Solution
The fourth proportional to 394,024,624,679.58, 590,884,135,351.60 and 135,526,225,072.54 is: 203,236,780,910.78
Step by Step Solution
- Step 1: Write the proportion equation
394,024,624,679.58 : 590,884,135,351.60 = 135,526,225,072.54 : x - Step 2: Convert to fraction form
394,024,624,679.58/590,884,135,351.60 = 135,526,225,072.54/x - Step 3: Cross multiply
394,024,624,679.58x = 590,884,135,351.60 × 135,526,225,072.54 - Step 4: Simplify right side
394,024,624,679.58x = 80,080,296,319,454,118,150,144 - Step 5: Solve for x
x = 80,080,296,319,454,118,150,144/394,024,624,679.58 - Step 6: Final answer
x = 203,236,780,910.78
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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.