Finding the Fourth Proportional to 231,079,301,120.42, 318,756,946,785.36 and 144,120,900,349.99
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Solution
The fourth proportional to 231,079,301,120.42, 318,756,946,785.36 and 144,120,900,349.99 is: 198,804,211,111.84
Step by Step Solution
- Step 1: Write the proportion equation
231,079,301,120.42 : 318,756,946,785.36 = 144,120,900,349.99 : x - Step 2: Convert to fraction form
231,079,301,120.42/318,756,946,785.36 = 144,120,900,349.99/x - Step 3: Cross multiply
231,079,301,120.42x = 318,756,946,785.36 × 144,120,900,349.99 - Step 4: Simplify right side
231,079,301,120.42x = 45,939,538,163,519,931,285,504 - Step 5: Solve for x
x = 45,939,538,163,519,931,285,504/231,079,301,120.42 - Step 6: Final answer
x = 198,804,211,111.84
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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.