Finding the Fourth Proportional to 311,872.84, 467,845.88 and 109,407.08
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Solution
The fourth proportional to 311,872.84, 467,845.88 and 109,407.08 is: 164,123.47
Step by Step Solution
- Step 1: Write the proportion equation
311,872.84 : 467,845.88 = 109,407.08 : x - Step 2: Convert to fraction form
311,872.84/467,845.88 = 109,407.08/x - Step 3: Cross multiply
311,872.84x = 467,845.88 × 109,407.08 - Step 4: Simplify right side
311,872.84x = 51,185,651,620.83 - Step 5: Solve for x
x = 51,185,651,620.83/311,872.84 - Step 6: Final answer
x = 164,123.47
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.