Finding the Fourth Proportional to 1,889,568,138.30, 2,834,352,207.45 and 971,238,090.30
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Solution
The fourth proportional to 1,889,568,138.30, 2,834,352,207.45 and 971,238,090.30 is: 1,456,857,135.45
Step by Step Solution
- Step 1: Write the proportion equation
1,889,568,138.30 : 2,834,352,207.45 = 971,238,090.30 : x - Step 2: Convert to fraction form
1,889,568,138.30/2,834,352,207.45 = 971,238,090.30/x - Step 3: Cross multiply
1,889,568,138.30x = 2,834,352,207.45 × 971,238,090.30 - Step 4: Simplify right side
1,889,568,138.30x = 2,752,830,825,201,327,104 - Step 5: Solve for x
x = 2,752,830,825,201,327,104/1,889,568,138.30 - Step 6: Final answer
x = 1,456,857,135.45
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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.