Finding the Fourth Proportional to 1,055,247,249.07, 1,582,884,344.61 and 278,886,202.19
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Solution
The fourth proportional to 1,055,247,249.07, 1,582,884,344.61 and 278,886,202.19 is: 418,332,863.47
Step by Step Solution
- Step 1: Write the proportion equation
1,055,247,249.07 : 1,582,884,344.61 = 278,886,202.19 : x - Step 2: Convert to fraction form
1,055,247,249.07/1,582,884,344.61 = 278,886,202.19/x - Step 3: Cross multiply
1,055,247,249.07x = 1,582,884,344.61 × 278,886,202.19 - Step 4: Simplify right side
1,055,247,249.07x = 441,444,603,374,290,048 - Step 5: Solve for x
x = 441,444,603,374,290,048/1,055,247,249.07 - Step 6: Final answer
x = 418,332,863.47
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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.