Finding the Fourth Proportional to 346,981,317,029.49, 520,198,245,231.84 and 219,226,729,458.97
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Solution
The fourth proportional to 346,981,317,029.49, 520,198,245,231.84 and 219,226,729,458.97 is: 328,667,148,274.09
Step by Step Solution
- Step 1: Write the proportion equation
346,981,317,029.49 : 520,198,245,231.84 = 219,226,729,458.97 : x - Step 2: Convert to fraction form
346,981,317,029.49/520,198,245,231.84 = 219,226,729,458.97/x - Step 3: Cross multiply
346,981,317,029.49x = 520,198,245,231.84 × 219,226,729,458.97 - Step 4: Simplify right side
346,981,317,029.49x = 114,041,359,972,471,517,741,056 - Step 5: Solve for x
x = 114,041,359,972,471,517,741,056/346,981,317,029.49 - Step 6: Final answer
x = 328,667,148,274.09
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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.