Finding the Fourth Proportional to 1,377,765,398.49, 1,901,347,616.75 and 782,956,160.97
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Solution
The fourth proportional to 1,377,765,398.49, 1,901,347,616.75 and 782,956,160.97 is: 1,080,497,327.27
Step by Step Solution
- Step 1: Write the proportion equation
1,377,765,398.49 : 1,901,347,616.75 = 782,956,160.97 : x - Step 2: Convert to fraction form
1,377,765,398.49/1,901,347,616.75 = 782,956,160.97/x - Step 3: Cross multiply
1,377,765,398.49x = 1,901,347,616.75 × 782,956,160.97 - Step 4: Simplify right side
1,377,765,398.49x = 1,488,671,830,676,124,160 - Step 5: Solve for x
x = 1,488,671,830,676,124,160/1,377,765,398.49 - Step 6: Final answer
x = 1,080,497,327.27
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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.