Finding the Fourth Proportional to 270,268,207.86, 405,434,198.28 and 202,541,366.82
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Solution
The fourth proportional to 270,268,207.86, 405,434,198.28 and 202,541,366.82 is: 303,835,946.25
Step by Step Solution
- Step 1: Write the proportion equation
270,268,207.86 : 405,434,198.28 = 202,541,366.82 : x - Step 2: Convert to fraction form
270,268,207.86/405,434,198.28 = 202,541,366.82/x - Step 3: Cross multiply
270,268,207.86x = 405,434,198.28 × 202,541,366.82 - Step 4: Simplify right side
270,268,207.86x = 82,117,196,675,202,080 - Step 5: Solve for x
x = 82,117,196,675,202,080/270,268,207.86 - Step 6: Final answer
x = 303,835,946.25
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.