Finding the Fourth Proportional to 378,464.25, 522,293.28 and 206,391.63
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Solution
The fourth proportional to 378,464.25, 522,293.28 and 206,391.63 is: 284,827.33
Step by Step Solution
- Step 1: Write the proportion equation
378,464.25 : 522,293.28 = 206,391.63 : x - Step 2: Convert to fraction form
378,464.25/522,293.28 = 206,391.63/x - Step 3: Cross multiply
378,464.25x = 522,293.28 × 206,391.63 - Step 4: Simplify right side
378,464.25x = 107,796,961,397.25 - Step 5: Solve for x
x = 107,796,961,397.25/378,464.25 - Step 6: Final answer
x = 284,827.33
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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.