Finding the Fourth Proportional to 282,524.87, 389,951.58 and 161,735.96
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Solution
The fourth proportional to 282,524.87, 389,951.58 and 161,735.96 is: 223,234.12
Step by Step Solution
- Step 1: Write the proportion equation
282,524.87 : 389,951.58 = 161,735.96 : x - Step 2: Convert to fraction form
282,524.87/389,951.58 = 161,735.96/x - Step 3: Cross multiply
282,524.87x = 389,951.58 × 161,735.96 - Step 4: Simplify right side
282,524.87x = 63,069,190,386.38 - Step 5: Solve for x
x = 63,069,190,386.38/282,524.87 - Step 6: Final answer
x = 223,234.12
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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.