Finding the Fourth Proportional to 728,263,083,384.16, 1,004,981,237,135.70 and 403,115,702,851.60
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Solution
The fourth proportional to 728,263,083,384.16, 1,004,981,237,135.70 and 403,115,702,851.60 is: 556,287,593,046.82
Step by Step Solution
- Step 1: Write the proportion equation
728,263,083,384.16 : 1,004,981,237,135.70 = 403,115,702,851.60 : x - Step 2: Convert to fraction form
728,263,083,384.16/1,004,981,237,135.70 = 403,115,702,851.60/x - Step 3: Cross multiply
728,263,083,384.16x = 1,004,981,237,135.70 × 403,115,702,851.60 - Step 4: Simplify right side
728,263,083,384.16x = 405,123,717,760,628,169,900,032 - Step 5: Solve for x
x = 405,123,717,760,628,169,900,032/728,263,083,384.16 - Step 6: Final answer
x = 556,287,593,046.82
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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.