Finding the Fourth Proportional to 1,322,945,806.26, 1,984,418,708.74 and 493,964,188.02
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Solution
The fourth proportional to 1,322,945,806.26, 1,984,418,708.74 and 493,964,188.02 is: 740,946,281.79
Step by Step Solution
- Step 1: Write the proportion equation
1,322,945,806.26 : 1,984,418,708.74 = 493,964,188.02 : x - Step 2: Convert to fraction form
1,322,945,806.26/1,984,418,708.74 = 493,964,188.02/x - Step 3: Cross multiply
1,322,945,806.26x = 1,984,418,708.74 × 493,964,188.02 - Step 4: Simplify right side
1,322,945,806.26x = 980,231,776,154,450,944 - Step 5: Solve for x
x = 980,231,776,154,450,944/1,322,945,806.26 - Step 6: Final answer
x = 740,946,281.79
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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.