Finding the Fourth Proportional to 299,748.96, 413,472.60 and 197,738.19
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Solution
The fourth proportional to 299,748.96, 413,472.60 and 197,738.19 is: 272,759.32
Step by Step Solution
- Step 1: Write the proportion equation
299,748.96 : 413,472.60 = 197,738.19 : x - Step 2: Convert to fraction form
299,748.96/413,472.60 = 197,738.19/x - Step 3: Cross multiply
299,748.96x = 413,472.60 × 197,738.19 - Step 4: Simplify right side
299,748.96x = 81,759,323,538.59 - Step 5: Solve for x
x = 81,759,323,538.59/299,748.96 - Step 6: Final answer
x = 272,759.32
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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.