Finding the Fourth Proportional to 302,082.54, 416,880.65 and 166,107.84
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Solution
The fourth proportional to 302,082.54, 416,880.65 and 166,107.84 is: 229,232.53
Step by Step Solution
- Step 1: Write the proportion equation
302,082.54 : 416,880.65 = 166,107.84 : x - Step 2: Convert to fraction form
302,082.54/416,880.65 = 166,107.84/x - Step 3: Cross multiply
302,082.54x = 416,880.65 × 166,107.84 - Step 4: Simplify right side
302,082.54x = 69,247,144,309.30 - Step 5: Solve for x
x = 69,247,144,309.30/302,082.54 - Step 6: Final answer
x = 229,232.53
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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.