Finding the Fourth Proportional to 3,928,446,658.14, 5,420,447,105.77 and 2,257,372,948.92
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Solution
The fourth proportional to 3,928,446,658.14, 5,420,447,105.77 and 2,257,372,948.92 is: 3,114,709,637.78
Step by Step Solution
- Step 1: Write the proportion equation
3,928,446,658.14 : 5,420,447,105.77 = 2,257,372,948.92 : x - Step 2: Convert to fraction form
3,928,446,658.14/5,420,447,105.77 = 2,257,372,948.92/x - Step 3: Cross multiply
3,928,446,658.14x = 5,420,447,105.77 × 2,257,372,948.92 - Step 4: Simplify right side
3,928,446,658.14x = 12,235,970,667,616,905,216 - Step 5: Solve for x
x = 12,235,970,667,616,905,216/3,928,446,658.14 - Step 6: Final answer
x = 3,114,709,637.78
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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.