Finding the Fourth Proportional to 281,322,163,317.36, 388,223,740,147.84 and 152,864,003,867.12
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Solution
The fourth proportional to 281,322,163,317.36, 388,223,740,147.84 and 152,864,003,867.12 is: 210,951,866,057.99
Step by Step Solution
- Step 1: Write the proportion equation
281,322,163,317.36 : 388,223,740,147.84 = 152,864,003,867.12 : x - Step 2: Convert to fraction form
281,322,163,317.36/388,223,740,147.84 = 152,864,003,867.12/x - Step 3: Cross multiply
281,322,163,317.36x = 388,223,740,147.84 × 152,864,003,867.12 - Step 4: Simplify right side
281,322,163,317.36x = 59,345,435,315,267,210,051,584 - Step 5: Solve for x
x = 59,345,435,315,267,210,051,584/281,322,163,317.36 - Step 6: Final answer
x = 210,951,866,057.99
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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.