Finding the Fourth Proportional to 299,235.13, 412,944.47 and 165,099.13
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Solution
The fourth proportional to 299,235.13, 412,944.47 and 165,099.13 is: 227,836.79
Step by Step Solution
- Step 1: Write the proportion equation
299,235.13 : 412,944.47 = 165,099.13 : x - Step 2: Convert to fraction form
299,235.13/412,944.47 = 165,099.13/x - Step 3: Cross multiply
299,235.13x = 412,944.47 × 165,099.13 - Step 4: Simplify right side
299,235.13x = 68,176,772,735.31 - Step 5: Solve for x
x = 68,176,772,735.31/299,235.13 - Step 6: Final answer
x = 227,836.79
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1.5x scale
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.