Finding the Fourth Proportional to 1,205,874,187,971.40, 1,809,345,434,210.60 and 632,053,930,125.44
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Solution
The fourth proportional to 1,205,874,187,971.40, 1,809,345,434,210.60 and 632,053,930,125.44 is: 948,360,868,865.74
Step by Step Solution
- Step 1: Write the proportion equation
1,205,874,187,971.40 : 1,809,345,434,210.60 = 632,053,930,125.44 : x - Step 2: Convert to fraction form
1,205,874,187,971.40/1,809,345,434,210.60 = 632,053,930,125.44/x - Step 3: Cross multiply
1,205,874,187,971.40x = 1,809,345,434,210.60 × 632,053,930,125.44 - Step 4: Simplify right side
1,205,874,187,971.40x = 1,143,603,892,647,330,481,963,008 - Step 5: Solve for x
x = 1,143,603,892,647,330,481,963,008/1,205,874,187,971.40 - Step 6: Final answer
x = 948,360,868,865.74
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.