Finding the Fourth Proportional to 1,541,765,896.90, 2,127,639,636.84 and 836,918,355.80
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Solution
The fourth proportional to 1,541,765,896.90, 2,127,639,636.84 and 836,918,355.80 is: 1,154,948,796.17
Step by Step Solution
- Step 1: Write the proportion equation
1,541,765,896.90 : 2,127,639,636.84 = 836,918,355.80 : x - Step 2: Convert to fraction form
1,541,765,896.90/2,127,639,636.84 = 836,918,355.80/x - Step 3: Cross multiply
1,541,765,896.90x = 2,127,639,636.84 × 836,918,355.80 - Step 4: Simplify right side
1,541,765,896.90x = 1,780,660,666,599,041,792 - Step 5: Solve for x
x = 1,780,660,666,599,041,792/1,541,765,896.90 - Step 6: Final answer
x = 1,154,948,796.17
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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.