Finding the Fourth Proportional to 416,114.38, 574,825.71 and 331,122.70
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Solution
The fourth proportional to 416,114.38, 574,825.71 and 331,122.70 is: 457,417.12
Step by Step Solution
- Step 1: Write the proportion equation
416,114.38 : 574,825.71 = 331,122.70 : x - Step 2: Convert to fraction form
416,114.38/574,825.71 = 331,122.70/x - Step 3: Cross multiply
416,114.38x = 574,825.71 × 331,122.70 - Step 4: Simplify right side
416,114.38x = 190,337,841,124.62 - Step 5: Solve for x
x = 190,337,841,124.62/416,114.38 - Step 6: Final answer
x = 457,417.12
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1.5x scale
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.