Finding the Fourth Proportional to 354,547,521,974.42, 531,853,976,399.56 and 115,783,422,356.07
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Solution
The fourth proportional to 354,547,521,974.42, 531,853,976,399.56 and 115,783,422,356.07 is: 173,685,810,122.99
Step by Step Solution
- Step 1: Write the proportion equation
354,547,521,974.42 : 531,853,976,399.56 = 115,783,422,356.07 : x - Step 2: Convert to fraction form
354,547,521,974.42/531,853,976,399.56 = 115,783,422,356.07/x - Step 3: Cross multiply
354,547,521,974.42x = 531,853,976,399.56 × 115,783,422,356.07 - Step 4: Simplify right side
354,547,521,974.42x = 61,579,873,581,225,547,399,168 - Step 5: Solve for x
x = 61,579,873,581,225,547,399,168/354,547,521,974.42 - Step 6: Final answer
x = 173,685,810,122.99
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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.