Finding the Fourth Proportional to 397,442,114.82, 596,418,262.09 and 192,858,587.46
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Solution
The fourth proportional to 397,442,114.82, 596,418,262.09 and 192,858,587.46 is: 289,411,663.42
Step by Step Solution
- Step 1: Write the proportion equation
397,442,114.82 : 596,418,262.09 = 192,858,587.46 : x - Step 2: Convert to fraction form
397,442,114.82/596,418,262.09 = 192,858,587.46/x - Step 3: Cross multiply
397,442,114.82x = 596,418,262.09 × 192,858,587.46 - Step 4: Simplify right side
397,442,114.82x = 115,024,383,562,025,472 - Step 5: Solve for x
x = 115,024,383,562,025,472/397,442,114.82 - Step 6: Final answer
x = 289,411,663.42
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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.