Finding the Fourth Proportional to 682,840.44, 1,024,371.92 and 256,409.28
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Solution
The fourth proportional to 682,840.44, 1,024,371.92 and 256,409.28 is: 384,655.70
Step by Step Solution
- Step 1: Write the proportion equation
682,840.44 : 1,024,371.92 = 256,409.28 : x - Step 2: Convert to fraction form
682,840.44/1,024,371.92 = 256,409.28/x - Step 3: Cross multiply
682,840.44x = 1,024,371.92 × 256,409.28 - Step 4: Simplify right side
682,840.44x = 262,658,466,459.42 - Step 5: Solve for x
x = 262,658,466,459.42/682,840.44 - Step 6: Final answer
x = 384,655.70
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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.