Finding the Fourth Proportional to 814,514.24, 1,221,478.56 and 281,890.72
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Solution
The fourth proportional to 814,514.24, 1,221,478.56 and 281,890.72 is: 422,734.75
Step by Step Solution
- Step 1: Write the proportion equation
814,514.24 : 1,221,478.56 = 281,890.72 : x - Step 2: Convert to fraction form
814,514.24/1,221,478.56 = 281,890.72/x - Step 3: Cross multiply
814,514.24x = 1,221,478.56 × 281,890.72 - Step 4: Simplify right side
814,514.24x = 344,323,470,742.96 - Step 5: Solve for x
x = 344,323,470,742.96/814,514.24 - Step 6: Final answer
x = 422,734.75
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1.5x scale
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.