Finding the Fourth Proportional to 1,106,943,570.17, 1,660,834,713.87 and 664,595,160.09
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Solution
The fourth proportional to 1,106,943,570.17, 1,660,834,713.87 and 664,595,160.09 is: 997,144,517.83
Step by Step Solution
- Step 1: Write the proportion equation
1,106,943,570.17 : 1,660,834,713.87 = 664,595,160.09 : x - Step 2: Convert to fraction form
1,106,943,570.17/1,660,834,713.87 = 664,595,160.09/x - Step 3: Cross multiply
1,106,943,570.17x = 1,660,834,713.87 × 664,595,160.09 - Step 4: Simplify right side
1,106,943,570.17x = 1,103,782,712,541,250,304 - Step 5: Solve for x
x = 1,103,782,712,541,250,304/1,106,943,570.17 - Step 6: Final answer
x = 997,144,517.83
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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.