Finding the Fourth Proportional to 805,118,261,707.80, 1,207,669,433,984.70 and 368,861,410,271.14
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Solution
The fourth proportional to 805,118,261,707.80, 1,207,669,433,984.70 and 368,861,410,271.14 is: 553,288,469,219.47
Step by Step Solution
- Step 1: Write the proportion equation
805,118,261,707.80 : 1,207,669,433,984.70 = 368,861,410,271.14 : x - Step 2: Convert to fraction form
805,118,261,707.80/1,207,669,433,984.70 = 368,861,410,271.14/x - Step 3: Cross multiply
805,118,261,707.80x = 1,207,669,433,984.70 × 368,861,410,271.14 - Step 4: Simplify right side
805,118,261,707.80x = 445,462,650,560,945,837,834,240 - Step 5: Solve for x
x = 445,462,650,560,945,837,834,240/805,118,261,707.80 - Step 6: Final answer
x = 553,288,469,219.47
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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.