Finding the Fourth Proportional to 1,516,423,720.96, 2,274,720,668.16 and 425,821,757.44
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Solution
The fourth proportional to 1,516,423,720.96, 2,274,720,668.16 and 425,821,757.44 is: 638,756,529.07
Step by Step Solution
- Step 1: Write the proportion equation
1,516,423,720.96 : 2,274,720,668.16 = 425,821,757.44 : x - Step 2: Convert to fraction form
1,516,423,720.96/2,274,720,668.16 = 425,821,757.44/x - Step 3: Cross multiply
1,516,423,720.96x = 2,274,720,668.16 × 425,821,757.44 - Step 4: Simplify right side
1,516,423,720.96x = 968,625,552,600,982,144 - Step 5: Solve for x
x = 968,625,552,600,982,144/1,516,423,720.96 - Step 6: Final answer
x = 638,756,529.07
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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.