Finding the Fourth Proportional to 295,414.24, 407,669.52 and 161,278.24
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Solution
The fourth proportional to 295,414.24, 407,669.52 and 161,278.24 is: 222,562.81
Step by Step Solution
- Step 1: Write the proportion equation
295,414.24 : 407,669.52 = 161,278.24 : x - Step 2: Convert to fraction form
295,414.24/407,669.52 = 161,278.24/x - Step 3: Cross multiply
295,414.24x = 407,669.52 × 161,278.24 - Step 4: Simplify right side
295,414.24x = 65,748,222,687.24 - Step 5: Solve for x
x = 65,748,222,687.24/295,414.24 - Step 6: Final answer
x = 222,562.81
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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.