Finding the Fourth Proportional to 764,758.17, 1,147,135.21 and 284,975.06
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Solution
The fourth proportional to 764,758.17, 1,147,135.21 and 284,975.06 is: 427,461.82
Step by Step Solution
- Step 1: Write the proportion equation
764,758.17 : 1,147,135.21 = 284,975.06 : x - Step 2: Convert to fraction form
764,758.17/1,147,135.21 = 284,975.06/x - Step 3: Cross multiply
764,758.17x = 1,147,135.21 × 284,975.06 - Step 4: Simplify right side
764,758.17x = 326,904,920,466.30 - Step 5: Solve for x
x = 326,904,920,466.30/764,758.17 - Step 6: Final answer
x = 427,461.82
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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.