Finding the Fourth Proportional to 846,180,782.97, 1,167,672,575.18 and 469,817,920.49
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Solution
The fourth proportional to 846,180,782.97, 1,167,672,575.18 and 469,817,920.49 is: 648,317,135.20
Step by Step Solution
- Step 1: Write the proportion equation
846,180,782.97 : 1,167,672,575.18 = 469,817,920.49 : x - Step 2: Convert to fraction form
846,180,782.97/1,167,672,575.18 = 469,817,920.49/x - Step 3: Cross multiply
846,180,782.97x = 1,167,672,575.18 × 469,817,920.49 - Step 4: Simplify right side
846,180,782.97x = 548,593,501,076,083,328 - Step 5: Solve for x
x = 548,593,501,076,083,328/846,180,782.97 - Step 6: Final answer
x = 648,317,135.20
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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.