Finding the Fourth Proportional to 1,202,541,107.16, 1,803,369,229.02 and 415,394,460.12
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Solution
The fourth proportional to 1,202,541,107.16, 1,803,369,229.02 and 415,394,460.12 is: 622,938,860.74
Step by Step Solution
- Step 1: Write the proportion equation
1,202,541,107.16 : 1,803,369,229.02 = 415,394,460.12 : x - Step 2: Convert to fraction form
1,202,541,107.16/1,803,369,229.02 = 415,394,460.12/x - Step 3: Cross multiply
1,202,541,107.16x = 1,803,369,229.02 × 415,394,460.12 - Step 4: Simplify right side
1,202,541,107.16x = 749,109,587,285,783,552 - Step 5: Solve for x
x = 749,109,587,285,783,552/1,202,541,107.16 - Step 6: Final answer
x = 622,938,860.74
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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.