Finding the Fourth Proportional to 656,174,106.94, 905,093,597.65 and 420,852,032.14
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Solution
The fourth proportional to 656,174,106.94, 905,093,597.65 and 420,852,032.14 is: 580,502,149.99
Step by Step Solution
- Step 1: Write the proportion equation
656,174,106.94 : 905,093,597.65 = 420,852,032.14 : x - Step 2: Convert to fraction form
656,174,106.94/905,093,597.65 = 420,852,032.14/x - Step 3: Cross multiply
656,174,106.94x = 905,093,597.65 × 420,852,032.14 - Step 4: Simplify right side
656,174,106.94x = 380,910,479,845,801,728 - Step 5: Solve for x
x = 380,910,479,845,801,728/656,174,106.94 - Step 6: Final answer
x = 580,502,149.99
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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.