Finding the Fourth Proportional to 723,666,698,471.82, 1,085,246,347,810.80 and 213,589,366,929.12
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Solution
The fourth proportional to 723,666,698,471.82, 1,085,246,347,810.80 and 213,589,366,929.12 is: 320,309,171,170.29
Step by Step Solution
- Step 1: Write the proportion equation
723,666,698,471.82 : 1,085,246,347,810.80 = 213,589,366,929.12 : x - Step 2: Convert to fraction form
723,666,698,471.82/1,085,246,347,810.80 = 213,589,366,929.12/x - Step 3: Cross multiply
723,666,698,471.82x = 1,085,246,347,810.80 × 213,589,366,929.12 - Step 4: Simplify right side
723,666,698,471.82x = 231,797,080,391,048,337,817,600 - Step 5: Solve for x
x = 231,797,080,391,048,337,817,600/723,666,698,471.82 - Step 6: Final answer
x = 320,309,171,170.29
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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.