Finding the Fourth Proportional to 300,212.71, 414,296.59 and 164,243.68
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Solution
The fourth proportional to 300,212.71, 414,296.59 and 164,243.68 is: 226,657.95
Step by Step Solution
- Step 1: Write the proportion equation
300,212.71 : 414,296.59 = 164,243.68 : x - Step 2: Convert to fraction form
300,212.71/414,296.59 = 164,243.68/x - Step 3: Cross multiply
300,212.71x = 414,296.59 × 164,243.68 - Step 4: Simplify right side
300,212.71x = 68,045,596,553.05 - Step 5: Solve for x
x = 68,045,596,553.05/300,212.71 - Step 6: Final answer
x = 226,657.95
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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.