Finding the Fourth Proportional to 842,521,748.16, 1,263,838,074.84 and 220,752,204.96
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Solution
The fourth proportional to 842,521,748.16, 1,263,838,074.84 and 220,752,204.96 is: 331,142,836.78
Step by Step Solution
- Step 1: Write the proportion equation
842,521,748.16 : 1,263,838,074.84 = 220,752,204.96 : x - Step 2: Convert to fraction form
842,521,748.16/1,263,838,074.84 = 220,752,204.96/x - Step 3: Cross multiply
842,521,748.16x = 1,263,838,074.84 × 220,752,204.96 - Step 4: Simplify right side
842,521,748.16x = 278,995,041,733,331,488 - Step 5: Solve for x
x = 278,995,041,733,331,488/842,521,748.16 - Step 6: Final answer
x = 331,142,836.78
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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.