Finding the Fourth Proportional to 1,413,285,406.08, 2,119,956,453.18 and 378,144,626.28
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Solution
The fourth proportional to 1,413,285,406.08, 2,119,956,453.18 and 378,144,626.28 is: 567,224,523.28
Step by Step Solution
- Step 1: Write the proportion equation
1,413,285,406.08 : 2,119,956,453.18 = 378,144,626.28 : x - Step 2: Convert to fraction form
1,413,285,406.08/2,119,956,453.18 = 378,144,626.28/x - Step 3: Cross multiply
1,413,285,406.08x = 2,119,956,453.18 × 378,144,626.28 - Step 4: Simplify right side
1,413,285,406.08x = 801,650,140,717,625,344 - Step 5: Solve for x
x = 801,650,140,717,625,344/1,413,285,406.08 - Step 6: Final answer
x = 567,224,523.28
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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.