Finding the Fourth Proportional to 1,024,498,390.26, 1,536,790,100.66 and 297,487,102.26
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Solution
The fourth proportional to 1,024,498,390.26, 1,536,790,100.66 and 297,487,102.26 is: 446,242,998.69
Step by Step Solution
- Step 1: Write the proportion equation
1,024,498,390.26 : 1,536,790,100.66 = 297,487,102.26 : x - Step 2: Convert to fraction form
1,024,498,390.26/1,536,790,100.66 = 297,487,102.26/x - Step 3: Cross multiply
1,024,498,390.26x = 1,536,790,100.66 × 297,487,102.26 - Step 4: Simplify right side
1,024,498,390.26x = 457,175,233,827,197,120 - Step 5: Solve for x
x = 457,175,233,827,197,120/1,024,498,390.26 - Step 6: Final answer
x = 446,242,998.69
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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.