Finding the Fourth Proportional to 281,524.16, 422,286.24 and 71,162.10
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Solution
The fourth proportional to 281,524.16, 422,286.24 and 71,162.10 is: 106,743.14
Step by Step Solution
- Step 1: Write the proportion equation
281,524.16 : 422,286.24 = 71,162.10 : x - Step 2: Convert to fraction form
281,524.16/422,286.24 = 71,162.10/x - Step 3: Cross multiply
281,524.16x = 422,286.24 × 71,162.10 - Step 4: Simplify right side
281,524.16x = 30,050,773,922.50 - Step 5: Solve for x
x = 30,050,773,922.50/281,524.16 - Step 6: Final answer
x = 106,743.14
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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.