Finding the Fourth Proportional to 306,471.24, 422,661.12 and 214,543.44
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Solution
The fourth proportional to 306,471.24, 422,661.12 and 214,543.44 is: 295,881.50
Step by Step Solution
- Step 1: Write the proportion equation
306,471.24 : 422,661.12 = 214,543.44 : x - Step 2: Convert to fraction form
306,471.24/422,661.12 = 214,543.44/x - Step 3: Cross multiply
306,471.24x = 422,661.12 × 214,543.44 - Step 4: Simplify right side
306,471.24x = 90,679,170,639.05 - Step 5: Solve for x
x = 90,679,170,639.05/306,471.24 - Step 6: Final answer
x = 295,881.50
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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.