Finding the Fourth Proportional to 204,000,231.98, 305,970,452.19 and 100,341,613.15
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Solution
The fourth proportional to 204,000,231.98, 305,970,452.19 and 100,341,613.15 is: 150,497,714.88
Step by Step Solution
- Step 1: Write the proportion equation
204,000,231.98 : 305,970,452.19 = 100,341,613.15 : x - Step 2: Convert to fraction form
204,000,231.98/305,970,452.19 = 100,341,613.15/x - Step 3: Cross multiply
204,000,231.98x = 305,970,452.19 × 100,341,613.15 - Step 4: Simplify right side
204,000,231.98x = 30,701,568,748,214,620 - Step 5: Solve for x
x = 30,701,568,748,214,620/204,000,231.98 - Step 6: Final answer
x = 150,497,714.88
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.