Finding the Fourth Proportional to 494,269,566.29, 682,046,918.12 and 293,291,807.68
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Solution
The fourth proportional to 494,269,566.29, 682,046,918.12 and 293,291,807.68 is: 404,715,942.84
Step by Step Solution
- Step 1: Write the proportion equation
494,269,566.29 : 682,046,918.12 = 293,291,807.68 : x - Step 2: Convert to fraction form
494,269,566.29/682,046,918.12 = 293,291,807.68/x - Step 3: Cross multiply
494,269,566.29x = 682,046,918.12 × 293,291,807.68 - Step 4: Simplify right side
494,269,566.29x = 200,038,773,537,987,744 - Step 5: Solve for x
x = 200,038,773,537,987,744/494,269,566.29 - Step 6: Final answer
x = 404,715,942.84
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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.