Finding the Fourth Proportional to 300,296.84, 414,409.60 and 164,330.81
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Solution
The fourth proportional to 300,296.84, 414,409.60 and 164,330.81 is: 226,776.50
Step by Step Solution
- Step 1: Write the proportion equation
300,296.84 : 414,409.60 = 164,330.81 : x - Step 2: Convert to fraction form
300,296.84/414,409.60 = 164,330.81/x - Step 3: Cross multiply
300,296.84x = 414,409.60 × 164,330.81 - Step 4: Simplify right side
300,296.84x = 68,100,265,239.78 - Step 5: Solve for x
x = 68,100,265,239.78/300,296.84 - Step 6: Final answer
x = 226,776.50
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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.