Finding the Fourth Proportional to 1,282,798,857.12, 1,770,267,278.16 and 696,087,993.12
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Solution
The fourth proportional to 1,282,798,857.12, 1,770,267,278.16 and 696,087,993.12 is: 960,604,065.17
Step by Step Solution
- Step 1: Write the proportion equation
1,282,798,857.12 : 1,770,267,278.16 = 696,087,993.12 : x - Step 2: Convert to fraction form
1,282,798,857.12/1,770,267,278.16 = 696,087,993.12/x - Step 3: Cross multiply
1,282,798,857.12x = 1,770,267,278.16 × 696,087,993.12 - Step 4: Simplify right side
1,282,798,857.12x = 1,232,261,796,940,399,360 - Step 5: Solve for x
x = 1,232,261,796,940,399,360/1,282,798,857.12 - Step 6: Final answer
x = 960,604,065.17
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Double scale
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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.