Finding the Fourth Proportional to 206,469.60, 284,626.47 and 145,933.44
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Solution
The fourth proportional to 206,469.60, 284,626.47 and 145,933.44 is: 201,174.99
Step by Step Solution
- Step 1: Write the proportion equation
206,469.60 : 284,626.47 = 145,933.44 : x - Step 2: Convert to fraction form
206,469.60/284,626.47 = 145,933.44/x - Step 3: Cross multiply
206,469.60x = 284,626.47 × 145,933.44 - Step 4: Simplify right side
206,469.60x = 41,536,519,882.16 - Step 5: Solve for x
x = 41,536,519,882.16/206,469.60 - Step 6: Final answer
x = 201,174.99
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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.