Finding the Fourth Proportional to 278,270,296.93, 384,162,097.36 and 214,551,468.96
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Solution
The fourth proportional to 278,270,296.93, 384,162,097.36 and 214,551,468.96 is: 296,195,976.42
Step by Step Solution
- Step 1: Write the proportion equation
278,270,296.93 : 384,162,097.36 = 214,551,468.96 : x - Step 2: Convert to fraction form
278,270,296.93/384,162,097.36 = 214,551,468.96/x - Step 3: Cross multiply
278,270,296.93x = 384,162,097.36 × 214,551,468.96 - Step 4: Simplify right side
278,270,296.93x = 82,422,542,307,342,544 - Step 5: Solve for x
x = 82,422,542,307,342,544/278,270,296.93 - Step 6: Final answer
x = 296,195,976.42
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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.