Finding the Fourth Proportional to 284,806.09, 427,121.64 and 135,002.05
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Solution
The fourth proportional to 284,806.09, 427,121.64 and 135,002.05 is: 202,461.60
Step by Step Solution
- Step 1: Write the proportion equation
284,806.09 : 427,121.64 = 135,002.05 : x - Step 2: Convert to fraction form
284,806.09/427,121.64 = 135,002.05/x - Step 3: Cross multiply
284,806.09x = 427,121.64 × 135,002.05 - Step 4: Simplify right side
284,806.09x = 57,662,296,999.36 - Step 5: Solve for x
x = 57,662,296,999.36/284,806.09 - Step 6: Final answer
x = 202,461.60
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.