Finding the Fourth Proportional to 313,971.24, 471,082.61 and 114,305.43
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Solution
The fourth proportional to 313,971.24, 471,082.61 and 114,305.43 is: 171,503.92
Step by Step Solution
- Step 1: Write the proportion equation
313,971.24 : 471,082.61 = 114,305.43 : x - Step 2: Convert to fraction form
313,971.24/471,082.61 = 114,305.43/x - Step 3: Cross multiply
313,971.24x = 471,082.61 × 114,305.43 - Step 4: Simplify right side
313,971.24x = 53,847,297,374.63 - Step 5: Solve for x
x = 53,847,297,374.63/313,971.24 - Step 6: Final answer
x = 171,503.92
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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.