Finding the Fourth Proportional to 1,542,840,189.14, 2,129,083,246.43 and 907,801,813.11
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Solution
The fourth proportional to 1,542,840,189.14, 2,129,083,246.43 and 907,801,813.11 is: 1,252,745,193.56
Step by Step Solution
- Step 1: Write the proportion equation
1,542,840,189.14 : 2,129,083,246.43 = 907,801,813.11 : x - Step 2: Convert to fraction form
1,542,840,189.14/2,129,083,246.43 = 907,801,813.11/x - Step 3: Cross multiply
1,542,840,189.14x = 2,129,083,246.43 × 907,801,813.11 - Step 4: Simplify right side
1,542,840,189.14x = 1,932,785,631,378,173,696 - Step 5: Solve for x
x = 1,932,785,631,378,173,696/1,542,840,189.14 - Step 6: Final answer
x = 1,252,745,193.56
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1.5x scale
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.