Finding the Fourth Proportional to 256,420.80, 384,702.30 and 106,731.60
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Solution
The fourth proportional to 256,420.80, 384,702.30 and 106,731.60 is: 160,126.99
Step by Step Solution
- Step 1: Write the proportion equation
256,420.80 : 384,702.30 = 106,731.60 : x - Step 2: Convert to fraction form
256,420.80/384,702.30 = 106,731.60/x - Step 3: Cross multiply
256,420.80x = 384,702.30 × 106,731.60 - Step 4: Simplify right side
256,420.80x = 41,059,892,002.68 - Step 5: Solve for x
x = 41,059,892,002.68/256,420.80 - Step 6: Final answer
x = 160,126.99
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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.