Finding the Fourth Proportional to 417,754.81, 576,512.09 and 226,768.20
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Solution
The fourth proportional to 417,754.81, 576,512.09 and 226,768.20 is: 312,945.79
Step by Step Solution
- Step 1: Write the proportion equation
417,754.81 : 576,512.09 = 226,768.20 : x - Step 2: Convert to fraction form
417,754.81/576,512.09 = 226,768.20/x - Step 3: Cross multiply
417,754.81x = 576,512.09 × 226,768.20 - Step 4: Simplify right side
417,754.81x = 130,734,608,927.54 - Step 5: Solve for x
x = 130,734,608,927.54/417,754.81 - Step 6: Final answer
x = 312,945.79
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1.5x scale
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.