Finding the Fourth Proportional to 198,785,401.74, 274,320,578.79 and 116,293,161.42
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Solution
The fourth proportional to 198,785,401.74, 274,320,578.79 and 116,293,161.42 is: 160,482,646.47
Step by Step Solution
- Step 1: Write the proportion equation
198,785,401.74 : 274,320,578.79 = 116,293,161.42 : x - Step 2: Convert to fraction form
198,785,401.74/274,320,578.79 = 116,293,161.42/x - Step 3: Cross multiply
198,785,401.74x = 274,320,578.79 × 116,293,161.42 - Step 4: Simplify right side
198,785,401.74x = 31,901,607,350,053,300 - Step 5: Solve for x
x = 31,901,607,350,053,300/198,785,401.74 - Step 6: Final answer
x = 160,482,646.47
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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.