Finding the Fourth Proportional to 512,229.26, 706,825.84 and 282,771.64
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Solution
The fourth proportional to 512,229.26, 706,825.84 and 282,771.64 is: 390,196.96
Step by Step Solution
- Step 1: Write the proportion equation
512,229.26 : 706,825.84 = 282,771.64 : x - Step 2: Convert to fraction form
512,229.26/706,825.84 = 282,771.64/x - Step 3: Cross multiply
512,229.26x = 706,825.84 × 282,771.64 - Step 4: Simplify right side
512,229.26x = 199,870,301,971.18 - Step 5: Solve for x
x = 199,870,301,971.18/512,229.26 - Step 6: Final answer
x = 390,196.96
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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.