Finding the Fourth Proportional to 511,946,570.76, 706,481,237.98 and 276,992,075.98
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Solution
The fourth proportional to 511,946,570.76, 706,481,237.98 and 276,992,075.98 is: 382,246,343.52
Step by Step Solution
- Step 1: Write the proportion equation
511,946,570.76 : 706,481,237.98 = 276,992,075.98 : x - Step 2: Convert to fraction form
511,946,570.76/706,481,237.98 = 276,992,075.98/x - Step 3: Cross multiply
511,946,570.76x = 706,481,237.98 × 276,992,075.98 - Step 4: Simplify right side
511,946,570.76x = 195,689,704,749,191,232 - Step 5: Solve for x
x = 195,689,704,749,191,232/511,946,570.76 - Step 6: Final answer
x = 382,246,343.52
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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.