Finding the Fourth Proportional to 318,292,311,236.43, 439,241,115,340.32 and 173,776,436,207.13
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Solution
The fourth proportional to 318,292,311,236.43, 439,241,115,340.32 and 173,776,436,207.13 is: 239,810,240,351.01
Step by Step Solution
- Step 1: Write the proportion equation
318,292,311,236.43 : 439,241,115,340.32 = 173,776,436,207.13 : x - Step 2: Convert to fraction form
318,292,311,236.43/439,241,115,340.32 = 173,776,436,207.13/x - Step 3: Cross multiply
318,292,311,236.43x = 439,241,115,340.32 × 173,776,436,207.13 - Step 4: Simplify right side
318,292,311,236.43x = 76,329,755,659,485,744,988,160 - Step 5: Solve for x
x = 76,329,755,659,485,744,988,160/318,292,311,236.43 - Step 6: Final answer
x = 239,810,240,351.01
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1.5x scale
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.