Finding the Fourth Proportional to 823,126,805.76, 1,234,430,067.84 and 270,338,158.08
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Solution
The fourth proportional to 823,126,805.76, 1,234,430,067.84 and 270,338,158.08 is: 405,421,799.51
Step by Step Solution
- Step 1: Write the proportion equation
823,126,805.76 : 1,234,430,067.84 = 270,338,158.08 : x - Step 2: Convert to fraction form
823,126,805.76/1,234,430,067.84 = 270,338,158.08/x - Step 3: Cross multiply
823,126,805.76x = 1,234,430,067.84 × 270,338,158.08 - Step 4: Simplify right side
823,126,805.76x = 333,713,550,818,435,008 - Step 5: Solve for x
x = 333,713,550,818,435,008/823,126,805.76 - Step 6: Final answer
x = 405,421,799.51
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.