Finding the Fourth Proportional to 305,578,247,168.34, 421,685,703,601.35 and 166,526,576,149.62
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Solution
The fourth proportional to 305,578,247,168.34, 421,685,703,601.35 and 166,526,576,149.62 is: 229,799,984,399.06
Step by Step Solution
- Step 1: Write the proportion equation
305,578,247,168.34 : 421,685,703,601.35 = 166,526,576,149.62 : x - Step 2: Convert to fraction form
305,578,247,168.34/421,685,703,601.35 = 166,526,576,149.62/x - Step 3: Cross multiply
305,578,247,168.34x = 421,685,703,601.35 × 166,526,576,149.62 - Step 4: Simplify right side
305,578,247,168.34x = 70,221,876,431,976,296,087,552 - Step 5: Solve for x
x = 70,221,876,431,976,296,087,552/305,578,247,168.34 - Step 6: Final answer
x = 229,799,984,399.06
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1.5x scale
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.