Finding the Fourth Proportional to 298,922.19, 412,509.92 and 164,786.19
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Solution
The fourth proportional to 298,922.19, 412,509.92 and 164,786.19 is: 227,403.45
Step by Step Solution
- Step 1: Write the proportion equation
298,922.19 : 412,509.92 = 164,786.19 : x - Step 2: Convert to fraction form
298,922.19/412,509.92 = 164,786.19/x - Step 3: Cross multiply
298,922.19x = 412,509.92 × 164,786.19 - Step 4: Simplify right side
298,922.19x = 67,975,937,230.07 - Step 5: Solve for x
x = 67,975,937,230.07/298,922.19 - Step 6: Final answer
x = 227,403.45
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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.