Finding the Fourth Proportional to 1,283,194,866.24, 1,770,761,498.40 and 696,471,405.12
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Solution
The fourth proportional to 1,283,194,866.24, 1,770,761,498.40 and 696,471,405.12 is: 961,104,802.84
Step by Step Solution
- Step 1: Write the proportion equation
1,283,194,866.24 : 1,770,761,498.40 = 696,471,405.12 : x - Step 2: Convert to fraction form
1,283,194,866.24/1,770,761,498.40 = 696,471,405.12/x - Step 3: Cross multiply
1,283,194,866.24x = 1,770,761,498.40 × 696,471,405.12 - Step 4: Simplify right side
1,283,194,866.24x = 1,233,284,748,923,044,608 - Step 5: Solve for x
x = 1,233,284,748,923,044,608/1,283,194,866.24 - Step 6: Final answer
x = 961,104,802.84
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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.