Finding the Fourth Proportional to 1,514,750,138.10, 2,272,125,207.15 and 698,456,762.10
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Solution
The fourth proportional to 1,514,750,138.10, 2,272,125,207.15 and 698,456,762.10 is: 1,047,685,143.15
Step by Step Solution
- Step 1: Write the proportion equation
1,514,750,138.10 : 2,272,125,207.15 = 698,456,762.10 : x - Step 2: Convert to fraction form
1,514,750,138.10/2,272,125,207.15 = 698,456,762.10/x - Step 3: Cross multiply
1,514,750,138.10x = 2,272,125,207.15 × 698,456,762.10 - Step 4: Simplify right side
1,514,750,138.10x = 1,586,981,215,271,780,864 - Step 5: Solve for x
x = 1,586,981,215,271,780,864/1,514,750,138.10 - Step 6: Final answer
x = 1,047,685,143.15
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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.