Finding the Fourth Proportional to 392,101,614,093.36, 541,094,727,177.32 and 218,494,070,760.08
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Solution
The fourth proportional to 392,101,614,093.36, 541,094,727,177.32 and 218,494,070,760.08 is: 301,518,752,686.49
Step by Step Solution
- Step 1: Write the proportion equation
392,101,614,093.36 : 541,094,727,177.32 = 218,494,070,760.08 : x - Step 2: Convert to fraction form
392,101,614,093.36/541,094,727,177.32 = 218,494,070,760.08/x - Step 3: Cross multiply
392,101,614,093.36x = 541,094,727,177.32 × 218,494,070,760.08 - Step 4: Simplify right side
392,101,614,093.36x = 118,225,989,607,787,541,299,200 - Step 5: Solve for x
x = 118,225,989,607,787,541,299,200/392,101,614,093.36 - Step 6: Final answer
x = 301,518,752,686.49
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.