Finding the Fourth Proportional to 494,269,565.29, 682,046,916.74 and 293,291,806.68
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Solution
The fourth proportional to 494,269,565.29, 682,046,916.74 and 293,291,806.68 is: 404,715,941.46
Step by Step Solution
- Step 1: Write the proportion equation
494,269,565.29 : 682,046,916.74 = 293,291,806.68 : x - Step 2: Convert to fraction form
494,269,565.29/682,046,916.74 = 293,291,806.68/x - Step 3: Cross multiply
494,269,565.29x = 682,046,916.74 × 293,291,806.68 - Step 4: Simplify right side
494,269,565.29x = 200,038,772,451,198,144 - Step 5: Solve for x
x = 200,038,772,451,198,144/494,269,565.29 - Step 6: Final answer
x = 404,715,941.46
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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.