Finding the Fourth Proportional to 823,059.21, 1,135,865.82 and 460,461.42
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Solution
The fourth proportional to 823,059.21, 1,135,865.82 and 460,461.42 is: 635,461.44
Step by Step Solution
- Step 1: Write the proportion equation
823,059.21 : 1,135,865.82 = 460,461.42 : x - Step 2: Convert to fraction form
823,059.21/1,135,865.82 = 460,461.42/x - Step 3: Cross multiply
823,059.21x = 1,135,865.82 × 460,461.42 - Step 4: Simplify right side
823,059.21x = 523,022,388,406.66 - Step 5: Solve for x
x = 523,022,388,406.66/823,059.21 - Step 6: Final answer
x = 635,461.44
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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.