Finding the Fourth Proportional to 782,586,566.62, 1,079,954,933.16 and 430,155,023.14
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Solution
The fourth proportional to 782,586,566.62, 1,079,954,933.16 and 430,155,023.14 is: 593,605,946.07
Step by Step Solution
- Step 1: Write the proportion equation
782,586,566.62 : 1,079,954,933.16 = 430,155,023.14 : x - Step 2: Convert to fraction form
782,586,566.62/1,079,954,933.16 = 430,155,023.14/x - Step 3: Cross multiply
782,586,566.62x = 1,079,954,933.16 × 430,155,023.14 - Step 4: Simplify right side
782,586,566.62x = 464,548,039,263,596,992 - Step 5: Solve for x
x = 464,548,039,263,596,992/782,586,566.62 - Step 6: Final answer
x = 593,605,946.07
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.