Finding the Fourth Proportional to 1,516,777,138.21, 2,275,165,707.31 and 426,260,206.21
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Solution
The fourth proportional to 1,516,777,138.21, 2,275,165,707.31 and 426,260,206.21 is: 639,390,309.31
Step by Step Solution
- Step 1: Write the proportion equation
1,516,777,138.21 : 2,275,165,707.31 = 426,260,206.21 : x - Step 2: Convert to fraction form
1,516,777,138.21/2,275,165,707.31 = 426,260,206.21/x - Step 3: Cross multiply
1,516,777,138.21x = 2,275,165,707.31 × 426,260,206.21 - Step 4: Simplify right side
1,516,777,138.21x = 969,812,603,559,881,088 - Step 5: Solve for x
x = 969,812,603,559,881,088/1,516,777,138.21 - Step 6: Final answer
x = 639,390,309.31
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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.