Finding the Fourth Proportional to 1,447,524,597.98, 2,170,928,174.20 and 412,394,447.00
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Solution
The fourth proportional to 1,447,524,597.98, 2,170,928,174.20 and 412,394,447.00 is: 618,489,471.70
Step by Step Solution
- Step 1: Write the proportion equation
1,447,524,597.98 : 2,170,928,174.20 = 412,394,447.00 : x - Step 2: Convert to fraction form
1,447,524,597.98/2,170,928,174.20 = 412,394,447.00/x - Step 3: Cross multiply
1,447,524,597.98x = 2,170,928,174.20 × 412,394,447.00 - Step 4: Simplify right side
1,447,524,597.98x = 895,278,723,880,325,120 - Step 5: Solve for x
x = 895,278,723,880,325,120/1,447,524,597.98 - Step 6: Final answer
x = 618,489,471.70
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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.