Finding the Fourth Proportional to 416,741.42, 575,102.64 and 225,755.60
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Solution
The fourth proportional to 416,741.42, 575,102.64 and 225,755.60 is: 311,542.45
Step by Step Solution
- Step 1: Write the proportion equation
416,741.42 : 575,102.64 = 225,755.60 : x - Step 2: Convert to fraction form
416,741.42/575,102.64 = 225,755.60/x - Step 3: Cross multiply
416,741.42x = 575,102.64 × 225,755.60 - Step 4: Simplify right side
416,741.42x = 129,832,641,554.78 - Step 5: Solve for x
x = 129,832,641,554.78/416,741.42 - Step 6: Final answer
x = 311,542.45
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.