Finding the Fourth Proportional to 278,204,612.40, 417,306,918.60 and 96,470,161.20
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Solution
The fourth proportional to 278,204,612.40, 417,306,918.60 and 96,470,161.20 is: 144,705,241.80
Step by Step Solution
- Step 1: Write the proportion equation
278,204,612.40 : 417,306,918.60 = 96,470,161.20 : x - Step 2: Convert to fraction form
278,204,612.40/417,306,918.60 = 96,470,161.20/x - Step 3: Cross multiply
278,204,612.40x = 417,306,918.60 × 96,470,161.20 - Step 4: Simplify right side
278,204,612.40x = 40,257,665,707,217,280 - Step 5: Solve for x
x = 40,257,665,707,217,280/278,204,612.40 - Step 6: Final answer
x = 144,705,241.80
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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.