Finding the Fourth Proportional to 513,216,121.20, 769,824,181.80 and 226,561,657.20
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Solution
The fourth proportional to 513,216,121.20, 769,824,181.80 and 226,561,657.20 is: 339,842,485.80
Step by Step Solution
- Step 1: Write the proportion equation
513,216,121.20 : 769,824,181.80 = 226,561,657.20 : x - Step 2: Convert to fraction form
513,216,121.20/769,824,181.80 = 226,561,657.20/x - Step 3: Cross multiply
513,216,121.20x = 769,824,181.80 × 226,561,657.20 - Step 4: Simplify right side
513,216,121.20x = 174,412,642,381,242,048 - Step 5: Solve for x
x = 174,412,642,381,242,048/513,216,121.20 - Step 6: Final answer
x = 339,842,485.80
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1.5x scale
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.