Finding the Fourth Proportional to 204,234.40, 306,311.14 and 194,107.60
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Solution
The fourth proportional to 204,234.40, 306,311.14 and 194,107.60 is: 291,122.95
Step by Step Solution
- Step 1: Write the proportion equation
204,234.40 : 306,311.14 = 194,107.60 : x - Step 2: Convert to fraction form
204,234.40/306,311.14 = 194,107.60/x - Step 3: Cross multiply
204,234.40x = 306,311.14 × 194,107.60 - Step 4: Simplify right side
204,234.40x = 59,457,320,238.66 - Step 5: Solve for x
x = 59,457,320,238.66/204,234.40 - Step 6: Final answer
x = 291,122.95
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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.