Finding the Fourth Proportional to 1,408,543,364.40, 2,112,815,046.60 and 488,512,705.20
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Solution
The fourth proportional to 1,408,543,364.40, 2,112,815,046.60 and 488,512,705.20 is: 732,769,057.80
Step by Step Solution
- Step 1: Write the proportion equation
1,408,543,364.40 : 2,112,815,046.60 = 488,512,705.20 : x - Step 2: Convert to fraction form
1,408,543,364.40/2,112,815,046.60 = 488,512,705.20/x - Step 3: Cross multiply
1,408,543,364.40x = 2,112,815,046.60 × 488,512,705.20 - Step 4: Simplify right side
1,408,543,364.40x = 1,032,136,994,001,830,016 - Step 5: Solve for x
x = 1,032,136,994,001,830,016/1,408,543,364.40 - Step 6: Final answer
x = 732,769,057.80
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.