Finding the Fourth Proportional to 256,230,346,708.64, 384,409,537,037.04 and 180,830,716,395.68
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Solution
The fourth proportional to 256,230,346,708.64, 384,409,537,037.04 and 180,830,716,395.68 is: 271,291,253,610.89
Step by Step Solution
- Step 1: Write the proportion equation
256,230,346,708.64 : 384,409,537,037.04 = 180,830,716,395.68 : x - Step 2: Convert to fraction form
256,230,346,708.64/384,409,537,037.04 = 180,830,716,395.68/x - Step 3: Cross multiply
256,230,346,708.64x = 384,409,537,037.04 × 180,830,716,395.68 - Step 4: Simplify right side
256,230,346,708.64x = 69,513,051,971,739,621,261,312 - Step 5: Solve for x
x = 69,513,051,971,739,621,261,312/256,230,346,708.64 - Step 6: Final answer
x = 271,291,253,610.89
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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.