Finding the Fourth Proportional to 1,190,497,745.24, 1,785,816,120.38 and 361,478,433.23
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Solution
The fourth proportional to 1,190,497,745.24, 1,785,816,120.38 and 361,478,433.23 is: 542,238,753.34
Step by Step Solution
- Step 1: Write the proportion equation
1,190,497,745.24 : 1,785,816,120.38 = 361,478,433.23 : x - Step 2: Convert to fraction form
1,190,497,745.24/1,785,816,120.38 = 361,478,433.23/x - Step 3: Cross multiply
1,190,497,745.24x = 1,785,816,120.38 × 361,478,433.23 - Step 4: Simplify right side
1,190,497,745.24x = 645,534,013,237,207,680 - Step 5: Solve for x
x = 645,534,013,237,207,680/1,190,497,745.24 - Step 6: Final answer
x = 542,238,753.34
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1.5x scale
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.