Finding the Fourth Proportional to 776,198,993.21, 1,162,442,373.14 and 447,678,523.34
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Solution
The fourth proportional to 776,198,993.21, 1,162,442,373.14 and 447,678,523.34 is: 670,447,255.95
Step by Step Solution
- Step 1: Write the proportion equation
776,198,993.21 : 1,162,442,373.14 = 447,678,523.34 : x - Step 2: Convert to fraction form
776,198,993.21/1,162,442,373.14 = 447,678,523.34/x - Step 3: Cross multiply
776,198,993.21x = 1,162,442,373.14 × 447,678,523.34 - Step 4: Simplify right side
776,198,993.21x = 520,400,485,067,109,824 - Step 5: Solve for x
x = 520,400,485,067,109,824/776,198,993.21 - Step 6: Final answer
x = 670,447,255.95
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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.