Finding the Fourth Proportional to 300,092.14, 414,121.36 and 164,125.68
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Solution
The fourth proportional to 300,092.14, 414,121.36 and 164,125.68 is: 226,490.27
Step by Step Solution
- Step 1: Write the proportion equation
300,092.14 : 414,121.36 = 164,125.68 : x - Step 2: Convert to fraction form
300,092.14/414,121.36 = 164,125.68/x - Step 3: Cross multiply
300,092.14x = 414,121.36 × 164,125.68 - Step 4: Simplify right side
300,092.14x = 67,967,949,812.52 - Step 5: Solve for x
x = 67,967,949,812.52/300,092.14 - Step 6: Final answer
x = 226,490.27
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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.