Finding the Fourth Proportional to 684,288,601.20, 1,026,432,901.80 and 412,190,809.20
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Solution
The fourth proportional to 684,288,601.20, 1,026,432,901.80 and 412,190,809.20 is: 618,286,213.80
Step by Step Solution
- Step 1: Write the proportion equation
684,288,601.20 : 1,026,432,901.80 = 412,190,809.20 : x - Step 2: Convert to fraction form
684,288,601.20/1,026,432,901.80 = 412,190,809.20/x - Step 3: Cross multiply
684,288,601.20x = 1,026,432,901.80 × 412,190,809.20 - Step 4: Simplify right side
684,288,601.20x = 423,086,208,382,446,080 - Step 5: Solve for x
x = 423,086,208,382,446,080/684,288,601.20 - Step 6: Final answer
x = 618,286,213.80
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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.