Finding the Fourth Proportional to 298,306,911,803.29, 411,663,703,144.99 and 161,129,737,227.17
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Solution
The fourth proportional to 298,306,911,803.29, 411,663,703,144.99 and 161,129,737,227.17 is: 222,359,126,420.30
Step by Step Solution
- Step 1: Write the proportion equation
298,306,911,803.29 : 411,663,703,144.99 = 161,129,737,227.17 : x - Step 2: Convert to fraction form
298,306,911,803.29/411,663,703,144.99 = 161,129,737,227.17/x - Step 3: Cross multiply
298,306,911,803.29x = 411,663,703,144.99 × 161,129,737,227.17 - Step 4: Simplify right side
298,306,911,803.29x = 66,331,264,313,715,958,218,752 - Step 5: Solve for x
x = 66,331,264,313,715,958,218,752/298,306,911,803.29 - Step 6: Final answer
x = 222,359,126,420.30
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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.