Finding the Fourth Proportional to 209,102,207.05, 313,611,976.23 and 198,732,415.33
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Solution
The fourth proportional to 209,102,207.05, 313,611,976.23 and 198,732,415.33 is: 298,059,338.50
Step by Step Solution
- Step 1: Write the proportion equation
209,102,207.05 : 313,611,976.23 = 198,732,415.33 : x - Step 2: Convert to fraction form
209,102,207.05/313,611,976.23 = 198,732,415.33/x - Step 3: Cross multiply
209,102,207.05x = 313,611,976.23 × 198,732,415.33 - Step 4: Simplify right side
209,102,207.05x = 62,324,865,512,602,456 - Step 5: Solve for x
x = 62,324,865,512,602,456/209,102,207.05 - Step 6: Final answer
x = 298,059,338.50
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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.