Finding the Fourth Proportional to 311,294.36, 467,361.32 and 199,193.44
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Solution
The fourth proportional to 311,294.36, 467,361.32 and 199,193.44 is: 299,058.77
Step by Step Solution
- Step 1: Write the proportion equation
311,294.36 : 467,361.32 = 199,193.44 : x - Step 2: Convert to fraction form
311,294.36/467,361.32 = 199,193.44/x - Step 3: Cross multiply
311,294.36x = 467,361.32 × 199,193.44 - Step 4: Simplify right side
311,294.36x = 93,095,309,053.74 - Step 5: Solve for x
x = 93,095,309,053.74/311,294.36 - Step 6: Final answer
x = 299,058.77
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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.