Finding the Fourth Proportional to 1,618,292,101.14, 2,233,243,102.23 and 875,736,163.62
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Solution
The fourth proportional to 1,618,292,101.14, 2,233,243,102.23 and 875,736,163.62 is: 1,208,515,907.23
Step by Step Solution
- Step 1: Write the proportion equation
1,618,292,101.14 : 2,233,243,102.23 = 875,736,163.62 : x - Step 2: Convert to fraction form
1,618,292,101.14/2,233,243,102.23 = 875,736,163.62/x - Step 3: Cross multiply
1,618,292,101.14x = 2,233,243,102.23 × 875,736,163.62 - Step 4: Simplify right side
1,618,292,101.14x = 1,955,731,746,777,727,744 - Step 5: Solve for x
x = 1,955,731,746,777,727,744/1,618,292,101.14 - Step 6: Final answer
x = 1,208,515,907.23
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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.