Finding the Fourth Proportional to 494,268,126.93, 682,044,929.37 and 293,290,363.08
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Solution
The fourth proportional to 494,268,126.93, 682,044,929.37 and 293,290,363.08 is: 404,713,947.90
Step by Step Solution
- Step 1: Write the proportion equation
494,268,126.93 : 682,044,929.37 = 293,290,363.08 : x - Step 2: Convert to fraction form
494,268,126.93/682,044,929.37 = 293,290,363.08/x - Step 3: Cross multiply
494,268,126.93x = 682,044,929.37 × 293,290,363.08 - Step 4: Simplify right side
494,268,126.93x = 200,037,204,971,800,256 - Step 5: Solve for x
x = 200,037,204,971,800,256/494,268,126.93 - Step 6: Final answer
x = 404,713,947.90
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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.