Finding the Fourth Proportional to 305,980,877.43, 422,241,290.64 and 166,748,649.84
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Solution
The fourth proportional to 305,980,877.43, 422,241,290.64 and 166,748,649.84 is: 230,106,422.70
Step by Step Solution
- Step 1: Write the proportion equation
305,980,877.43 : 422,241,290.64 = 166,748,649.84 : x - Step 2: Convert to fraction form
305,980,877.43/422,241,290.64 = 166,748,649.84/x - Step 3: Cross multiply
305,980,877.43x = 422,241,290.64 × 166,748,649.84 - Step 4: Simplify right side
305,980,877.43x = 70,408,165,120,919,032 - Step 5: Solve for x
x = 70,408,165,120,919,032/305,980,877.43 - Step 6: Final answer
x = 230,106,422.70
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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.