Finding the Fourth Proportional to 407,394.69, 562,197.63 and 226,114.26
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Solution
The fourth proportional to 407,394.69, 562,197.63 and 226,114.26 is: 312,033.77
Step by Step Solution
- Step 1: Write the proportion equation
407,394.69 : 562,197.63 = 226,114.26 : x - Step 2: Convert to fraction form
407,394.69/562,197.63 = 226,114.26/x - Step 3: Cross multiply
407,394.69x = 562,197.63 × 226,114.26 - Step 4: Simplify right side
407,394.69x = 127,120,901,081.20 - Step 5: Solve for x
x = 127,120,901,081.20/407,394.69 - Step 6: Final answer
x = 312,033.77
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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.