Finding the Fourth Proportional to 407,708.22, 562,651.55 and 226,423.14
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Solution
The fourth proportional to 407,708.22, 562,651.55 and 226,423.14 is: 312,471.82
Step by Step Solution
- Step 1: Write the proportion equation
407,708.22 : 562,651.55 = 226,423.14 : x - Step 2: Convert to fraction form
407,708.22/562,651.55 = 226,423.14/x - Step 3: Cross multiply
407,708.22x = 562,651.55 × 226,423.14 - Step 4: Simplify right side
407,708.22x = 127,397,329,544.75 - Step 5: Solve for x
x = 127,397,329,544.75/407,708.22 - Step 6: Final answer
x = 312,471.82
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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.