Finding the Fourth Proportional to 281,253,251,782.68, 388,162,761,358.18 and 167,068,323,907.08
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Solution
The fourth proportional to 281,253,251,782.68, 388,162,761,358.18 and 167,068,323,907.08 is: 230,574,052,147.72
Step by Step Solution
- Step 1: Write the proportion equation
281,253,251,782.68 : 388,162,761,358.18 = 167,068,323,907.08 : x - Step 2: Convert to fraction form
281,253,251,782.68/388,162,761,358.18 = 167,068,323,907.08/x - Step 3: Cross multiply
281,253,251,782.68x = 388,162,761,358.18 × 167,068,323,907.08 - Step 4: Simplify right side
281,253,251,782.68x = 64,849,701,943,255,010,115,584 - Step 5: Solve for x
x = 64,849,701,943,255,010,115,584/281,253,251,782.68 - Step 6: Final answer
x = 230,574,052,147.72
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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.