Finding the Fourth Proportional to 809,442.40, 1,214,163.60 and 411,311.20
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Solution
The fourth proportional to 809,442.40, 1,214,163.60 and 411,311.20 is: 616,966.80
Step by Step Solution
- Step 1: Write the proportion equation
809,442.40 : 1,214,163.60 = 411,311.20 : x - Step 2: Convert to fraction form
809,442.40/1,214,163.60 = 411,311.20/x - Step 3: Cross multiply
809,442.40x = 1,214,163.60 × 411,311.20 - Step 4: Simplify right side
809,442.40x = 499,399,087,312.32 - Step 5: Solve for x
x = 499,399,087,312.32/809,442.40 - Step 6: Final answer
x = 616,966.80
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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.