Finding the Fourth Proportional to 765,257,262.84, 1,147,202,327.76 and 298,810,168.74
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Solution
The fourth proportional to 765,257,262.84, 1,147,202,327.76 and 298,810,168.74 is: 447,948,340.75
Step by Step Solution
- Step 1: Write the proportion equation
765,257,262.84 : 1,147,202,327.76 = 298,810,168.74 : x - Step 2: Convert to fraction form
765,257,262.84/1,147,202,327.76 = 298,810,168.74/x - Step 3: Cross multiply
765,257,262.84x = 1,147,202,327.76 × 298,810,168.74 - Step 4: Simplify right side
765,257,262.84x = 342,795,721,136,886,400 - Step 5: Solve for x
x = 342,795,721,136,886,400/765,257,262.84 - Step 6: Final answer
x = 447,948,340.75
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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.