Finding the Fourth Proportional to 379,204,251.96, 523,344,424.62 and 214,202,448.12
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Solution
The fourth proportional to 379,204,251.96, 523,344,424.62 and 214,202,448.12 is: 295,623,417.68
Step by Step Solution
- Step 1: Write the proportion equation
379,204,251.96 : 523,344,424.62 = 214,202,448.12 : x - Step 2: Convert to fraction form
379,204,251.96/523,344,424.62 = 214,202,448.12/x - Step 3: Cross multiply
379,204,251.96x = 523,344,424.62 × 214,202,448.12 - Step 4: Simplify right side
379,204,251.96x = 112,101,656,963,556,800 - Step 5: Solve for x
x = 112,101,656,963,556,800/379,204,251.96 - Step 6: Final answer
x = 295,623,417.68
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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.