Finding the Fourth Proportional to 206,236,218.92, 284,600,304.64 and 113,416,726.44
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Solution
The fourth proportional to 206,236,218.92, 284,600,304.64 and 113,416,726.44 is: 156,511,960.24
Step by Step Solution
- Step 1: Write the proportion equation
206,236,218.92 : 284,600,304.64 = 113,416,726.44 : x - Step 2: Convert to fraction form
206,236,218.92/284,600,304.64 = 113,416,726.44/x - Step 3: Cross multiply
206,236,218.92x = 284,600,304.64 × 113,416,726.44 - Step 4: Simplify right side
206,236,218.92x = 32,278,434,896,095,540 - Step 5: Solve for x
x = 32,278,434,896,095,540/206,236,218.92 - Step 6: Final answer
x = 156,511,960.24
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.