Finding the Fourth Proportional to 416,194.56, 623,067.12 and 257,914.08
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Solution
The fourth proportional to 416,194.56, 623,067.12 and 257,914.08 is: 386,112.17
Step by Step Solution
- Step 1: Write the proportion equation
416,194.56 : 623,067.12 = 257,914.08 : x - Step 2: Convert to fraction form
416,194.56/623,067.12 = 257,914.08/x - Step 3: Cross multiply
416,194.56x = 623,067.12 × 257,914.08 - Step 4: Simplify right side
416,194.56x = 160,697,783,033.05 - Step 5: Solve for x
x = 160,697,783,033.05/416,194.56 - Step 6: Final answer
x = 386,112.17
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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.