Finding the Fourth Proportional to 832,686,167.88, 1,149,106,919.31 and 461,408,199.12
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Solution
The fourth proportional to 832,686,167.88, 1,149,106,919.31 and 461,408,199.12 is: 636,743,319.02
Step by Step Solution
- Step 1: Write the proportion equation
832,686,167.88 : 1,149,106,919.31 = 461,408,199.12 : x - Step 2: Convert to fraction form
832,686,167.88/1,149,106,919.31 = 461,408,199.12/x - Step 3: Cross multiply
832,686,167.88x = 1,149,106,919.31 × 461,408,199.12 - Step 4: Simplify right side
832,686,167.88x = 530,207,354,235,158,208 - Step 5: Solve for x
x = 530,207,354,235,158,208/832,686,167.88 - Step 6: Final answer
x = 636,743,319.02
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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.