Finding the Fourth Proportional to 311,690,966,564.74, 430,178,691,857.16 and 174,522,632,478.28
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Solution
The fourth proportional to 311,690,966,564.74, 430,178,691,857.16 and 174,522,632,478.28 is: 240,866,517,776.93
Step by Step Solution
- Step 1: Write the proportion equation
311,690,966,564.74 : 430,178,691,857.16 = 174,522,632,478.28 : x - Step 2: Convert to fraction form
311,690,966,564.74/430,178,691,857.16 = 174,522,632,478.28/x - Step 3: Cross multiply
311,690,966,564.74x = 430,178,691,857.16 × 174,522,632,478.28 - Step 4: Simplify right side
311,690,966,564.74x = 75,075,917,738,974,394,712,064 - Step 5: Solve for x
x = 75,075,917,738,974,394,712,064/311,690,966,564.74 - Step 6: Final answer
x = 240,866,517,776.93
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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.