Finding the Fourth Proportional to 896,297,498.97, 1,236,891,740.10 and 494,402,181.99
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Solution
The fourth proportional to 896,297,498.97, 1,236,891,740.10 and 494,402,181.99 is: 682,275,668.40
Step by Step Solution
- Step 1: Write the proportion equation
896,297,498.97 : 1,236,891,740.10 = 494,402,181.99 : x - Step 2: Convert to fraction form
896,297,498.97/1,236,891,740.10 = 494,402,181.99/x - Step 3: Cross multiply
896,297,498.97x = 1,236,891,740.10 × 494,402,181.99 - Step 4: Simplify right side
896,297,498.97x = 611,521,975,190,848,000 - Step 5: Solve for x
x = 611,521,975,190,848,000/896,297,498.97 - Step 6: Final answer
x = 682,275,668.40
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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.