Finding the Fourth Proportional to 380,125,791.36, 524,573,962.56 and 206,285,535.36
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Solution
The fourth proportional to 380,125,791.36, 524,573,962.56 and 206,285,535.36 is: 284,674,239.85
Step by Step Solution
- Step 1: Write the proportion equation
380,125,791.36 : 524,573,962.56 = 206,285,535.36 : x - Step 2: Convert to fraction form
380,125,791.36/524,573,962.56 = 206,285,535.36/x - Step 3: Cross multiply
380,125,791.36x = 524,573,962.56 × 206,285,535.36 - Step 4: Simplify right side
380,125,791.36x = 108,212,020,702,606,208 - Step 5: Solve for x
x = 108,212,020,702,606,208/380,125,791.36 - Step 6: Final answer
x = 284,674,239.85
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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.