Finding the Fourth Proportional to 380,105,919.09, 524,546,168.40 and 206,265,663.09
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Solution
The fourth proportional to 380,105,919.09, 524,546,168.40 and 206,265,663.09 is: 284,646,615.09
Step by Step Solution
- Step 1: Write the proportion equation
380,105,919.09 : 524,546,168.40 = 206,265,663.09 : x - Step 2: Convert to fraction form
380,105,919.09/524,546,168.40 = 206,265,663.09/x - Step 3: Cross multiply
380,105,919.09x = 524,546,168.40 × 206,265,663.09 - Step 4: Simplify right side
380,105,919.09x = 108,195,863,246,344,800 - Step 5: Solve for x
x = 108,195,863,246,344,800/380,105,919.09 - Step 6: Final answer
x = 284,646,615.09
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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.