Finding the Fourth Proportional to 206,378.07, 284,416.09 and 160,984.14
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Solution
The fourth proportional to 206,378.07, 284,416.09 and 160,984.14 is: 221,857.29
Step by Step Solution
- Step 1: Write the proportion equation
206,378.07 : 284,416.09 = 160,984.14 : x - Step 2: Convert to fraction form
206,378.07/284,416.09 = 160,984.14/x - Step 3: Cross multiply
206,378.07x = 284,416.09 × 160,984.14 - Step 4: Simplify right side
206,378.07x = 45,786,479,650.81 - Step 5: Solve for x
x = 45,786,479,650.81/206,378.07 - Step 6: Final answer
x = 221,857.29
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1.5x scale
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.