Finding the Fourth Proportional to 723,282,986,422.60, 1,084,924,479,633.90 and 220,201,378,793.80
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Solution
The fourth proportional to 723,282,986,422.60, 1,084,924,479,633.90 and 220,201,378,793.80 is: 330,302,068,190.70
Step by Step Solution
- Step 1: Write the proportion equation
723,282,986,422.60 : 1,084,924,479,633.90 = 220,201,378,793.80 : x - Step 2: Convert to fraction form
723,282,986,422.60/1,084,924,479,633.90 = 220,201,378,793.80/x - Step 3: Cross multiply
723,282,986,422.60x = 1,084,924,479,633.90 × 220,201,378,793.80 - Step 4: Simplify right side
723,282,986,422.60x = 238,901,866,302,530,765,455,360 - Step 5: Solve for x
x = 238,901,866,302,530,765,455,360/723,282,986,422.60 - Step 6: Final answer
x = 330,302,068,190.70
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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.