Finding the Fourth Proportional to 842,951,382,954.75, 1,264,277,609,353.60 and 383,378,406,938.25
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Solution
The fourth proportional to 842,951,382,954.75, 1,264,277,609,353.60 and 383,378,406,938.25 is: 574,999,632,959.50
Step by Step Solution
- Step 1: Write the proportion equation
842,951,382,954.75 : 1,264,277,609,353.60 = 383,378,406,938.25 : x - Step 2: Convert to fraction form
842,951,382,954.75/1,264,277,609,353.60 = 383,378,406,938.25/x - Step 3: Cross multiply
842,951,382,954.75x = 1,264,277,609,353.60 × 383,378,406,938.25 - Step 4: Simplify right side
842,951,382,954.75x = 484,696,735,801,682,350,309,376 - Step 5: Solve for x
x = 484,696,735,801,682,350,309,376/842,951,382,954.75 - Step 6: Final answer
x = 574,999,632,959.50
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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.