Finding the Fourth Proportional to 256,719,708,806.38, 385,154,092,771.20 and 103,485,519,107.02
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Solution
The fourth proportional to 256,719,708,806.38, 385,154,092,771.20 and 103,485,519,107.02 is: 155,258,322,050.69
Step by Step Solution
- Step 1: Write the proportion equation
256,719,708,806.38 : 385,154,092,771.20 = 103,485,519,107.02 : x - Step 2: Convert to fraction form
256,719,708,806.38/385,154,092,771.20 = 103,485,519,107.02/x - Step 3: Cross multiply
256,719,708,806.38x = 385,154,092,771.20 × 103,485,519,107.02 - Step 4: Simplify right side
256,719,708,806.38x = 39,857,871,226,620,971,319,296 - Step 5: Solve for x
x = 39,857,871,226,620,971,319,296/256,719,708,806.38 - Step 6: Final answer
x = 155,258,322,050.69
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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.