Finding the Fourth Proportional to 380,106,003.68, 524,546,285.19 and 206,265,747.68
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Solution
The fourth proportional to 380,106,003.68, 524,546,285.19 and 206,265,747.68 is: 284,646,731.86
Step by Step Solution
- Step 1: Write the proportion equation
380,106,003.68 : 524,546,285.19 = 206,265,747.68 : x - Step 2: Convert to fraction form
380,106,003.68/524,546,285.19 = 206,265,747.68/x - Step 3: Cross multiply
380,106,003.68x = 524,546,285.19 × 206,265,747.68 - Step 4: Simplify right side
380,106,003.68x = 108,195,931,707,481,872 - Step 5: Solve for x
x = 108,195,931,707,481,872/380,106,003.68 - Step 6: Final answer
x = 284,646,731.86
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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.