Finding the Fourth Proportional to 1,192,581,754.94, 1,789,689,764.26 and 416,227,415.47
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Solution
The fourth proportional to 1,192,581,754.94, 1,789,689,764.26 and 416,227,415.47 is: 624,626,313.44
Step by Step Solution
- Step 1: Write the proportion equation
1,192,581,754.94 : 1,789,689,764.26 = 416,227,415.47 : x - Step 2: Convert to fraction form
1,192,581,754.94/1,789,689,764.26 = 416,227,415.47/x - Step 3: Cross multiply
1,192,581,754.94x = 1,789,689,764.26 × 416,227,415.47 - Step 4: Simplify right side
1,192,581,754.94x = 744,917,945,067,120,256 - Step 5: Solve for x
x = 744,917,945,067,120,256/1,192,581,754.94 - Step 6: Final answer
x = 624,626,313.44
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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.