Finding the Fourth Proportional to 749,961,198.74, 1,034,954,732.21 and 415,438,845.14
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Solution
The fourth proportional to 749,961,198.74, 1,034,954,732.21 and 415,438,845.14 is: 573,310,191.84
Step by Step Solution
- Step 1: Write the proportion equation
749,961,198.74 : 1,034,954,732.21 = 415,438,845.14 : x - Step 2: Convert to fraction form
749,961,198.74/1,034,954,732.21 = 415,438,845.14/x - Step 3: Cross multiply
749,961,198.74x = 1,034,954,732.21 × 415,438,845.14 - Step 4: Simplify right side
749,961,198.74x = 429,960,398,721,500,352 - Step 5: Solve for x
x = 429,960,398,721,500,352/749,961,198.74 - Step 6: Final answer
x = 573,310,191.84
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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.