Finding the Fourth Proportional to 526,459,046.24, 727,270,249.20 and 420,473,310.56
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Solution
The fourth proportional to 526,459,046.24, 727,270,249.20 and 420,473,310.56 is: 580,857,583.39
Step by Step Solution
- Step 1: Write the proportion equation
526,459,046.24 : 727,270,249.20 = 420,473,310.56 : x - Step 2: Convert to fraction form
526,459,046.24/727,270,249.20 = 420,473,310.56/x - Step 3: Cross multiply
526,459,046.24x = 727,270,249.20 × 420,473,310.56 - Step 4: Simplify right side
526,459,046.24x = 305,797,729,352,920,192 - Step 5: Solve for x
x = 305,797,729,352,920,192/526,459,046.24 - Step 6: Final answer
x = 580,857,583.39
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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.