Finding the Fourth Proportional to 378,177.21, 521,884.65 and 206,095.24
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Solution
The fourth proportional to 378,177.21, 521,884.65 and 206,095.24 is: 284,411.49
Step by Step Solution
- Step 1: Write the proportion equation
378,177.21 : 521,884.65 = 206,095.24 : x - Step 2: Convert to fraction form
378,177.21/521,884.65 = 206,095.24/x - Step 3: Cross multiply
378,177.21x = 521,884.65 × 206,095.24 - Step 4: Simplify right side
378,177.21x = 107,557,943,619.28 - Step 5: Solve for x
x = 107,557,943,619.28/378,177.21 - Step 6: Final answer
x = 284,411.49
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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.