Finding the Fourth Proportional to 260,348,601,266.14, 390,573,193,512.69 and 98,987,461,838.87
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Solution
The fourth proportional to 260,348,601,266.14, 390,573,193,512.69 and 98,987,461,838.87 is: 148,500,314,194.50
Step by Step Solution
- Step 1: Write the proportion equation
260,348,601,266.14 : 390,573,193,512.69 = 98,987,461,838.87 : x - Step 2: Convert to fraction form
260,348,601,266.14/390,573,193,512.69 = 98,987,461,838.87/x - Step 3: Cross multiply
260,348,601,266.14x = 390,573,193,512.69 × 98,987,461,838.87 - Step 4: Simplify right side
260,348,601,266.14x = 38,661,849,088,121,039,224,832 - Step 5: Solve for x
x = 38,661,849,088,121,039,224,832/260,348,601,266.14 - Step 6: Final answer
x = 148,500,314,194.50
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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.