Finding the Fourth Proportional to 428,785,740.25, 591,390,729.10 and 310,153,349.09
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Solution
The fourth proportional to 428,785,740.25, 591,390,729.10 and 310,153,349.09 is: 427,770,324.51
Step by Step Solution
- Step 1: Write the proportion equation
428,785,740.25 : 591,390,729.10 = 310,153,349.09 : x - Step 2: Convert to fraction form
428,785,740.25/591,390,729.10 = 310,153,349.09/x - Step 3: Cross multiply
428,785,740.25x = 591,390,729.10 × 310,153,349.09 - Step 4: Simplify right side
428,785,740.25x = 183,421,815,251,141,920 - Step 5: Solve for x
x = 183,421,815,251,141,920/428,785,740.25 - Step 6: Final answer
x = 427,770,324.51
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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.