Finding the Fourth Proportional to 311,782.19, 429,972.49 and 204,313.19
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Solution
The fourth proportional to 311,782.19, 429,972.49 and 204,313.19 is: 281,764.17
Step by Step Solution
- Step 1: Write the proportion equation
311,782.19 : 429,972.49 = 204,313.19 : x - Step 2: Convert to fraction form
311,782.19/429,972.49 = 204,313.19/x - Step 3: Cross multiply
311,782.19x = 429,972.49 × 204,313.19 - Step 4: Simplify right side
311,782.19x = 87,849,051,044.14 - Step 5: Solve for x
x = 87,849,051,044.14/311,782.19 - Step 6: Final answer
x = 281,764.17
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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.