Finding the Fourth Proportional to 538,456,537.24, 743,127,138.16 and 315,625,441.84
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Solution
The fourth proportional to 538,456,537.24, 743,127,138.16 and 315,625,441.84 is: 435,596,589.70
Step by Step Solution
- Step 1: Write the proportion equation
538,456,537.24 : 743,127,138.16 = 315,625,441.84 : x - Step 2: Convert to fraction form
538,456,537.24/743,127,138.16 = 315,625,441.84/x - Step 3: Cross multiply
538,456,537.24x = 743,127,138.16 × 315,625,441.84 - Step 4: Simplify right side
538,456,537.24x = 234,549,831,325,044,704 - Step 5: Solve for x
x = 234,549,831,325,044,704/538,456,537.24 - Step 6: Final answer
x = 435,596,589.70
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.