Finding the Fourth Proportional to 298,705.14, 412,212.87 and 164,569.14
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Solution
The fourth proportional to 298,705.14, 412,212.87 and 164,569.14 is: 227,105.29
Step by Step Solution
- Step 1: Write the proportion equation
298,705.14 : 412,212.87 = 164,569.14 : x - Step 2: Convert to fraction form
298,705.14/412,212.87 = 164,569.14/x - Step 3: Cross multiply
298,705.14x = 412,212.87 × 164,569.14 - Step 4: Simplify right side
298,705.14x = 67,837,517,512.83 - Step 5: Solve for x
x = 67,837,517,512.83/298,705.14 - Step 6: Final answer
x = 227,105.29
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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.