Finding the Fourth Proportional to 285,930,279,193.93, 394,626,683,497.43 and 217,228,640,174.68
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Solution
The fourth proportional to 285,930,279,193.93, 394,626,683,497.43 and 217,228,640,174.68 is: 299,808,114,322.33
Step by Step Solution
- Step 1: Write the proportion equation
285,930,279,193.93 : 394,626,683,497.43 = 217,228,640,174.68 : x - Step 2: Convert to fraction form
285,930,279,193.93/394,626,683,497.43 = 217,228,640,174.68/x - Step 3: Cross multiply
285,930,279,193.93x = 394,626,683,497.43 × 217,228,640,174.68 - Step 4: Simplify right side
285,930,279,193.93x = 85,724,217,832,790,548,283,392 - Step 5: Solve for x
x = 85,724,217,832,790,548,283,392/285,930,279,193.93 - Step 6: Final answer
x = 299,808,114,322.33
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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.