Finding the Fourth Proportional to 460,221,261.20, 690,331,900.97 and 110,467,329.19
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Solution
The fourth proportional to 460,221,261.20, 690,331,900.97 and 110,467,329.19 is: 165,700,995.98
Step by Step Solution
- Step 1: Write the proportion equation
460,221,261.20 : 690,331,900.97 = 110,467,329.19 : x - Step 2: Convert to fraction form
460,221,261.20/690,331,900.97 = 110,467,329.19/x - Step 3: Cross multiply
460,221,261.20x = 690,331,900.97 × 110,467,329.19 - Step 4: Simplify right side
460,221,261.20x = 76,259,121,353,516,464 - Step 5: Solve for x
x = 76,259,121,353,516,464/460,221,261.20 - Step 6: Final answer
x = 165,700,995.98
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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.