Finding the Fourth Proportional to 216,344,305.74, 298,658,090.88 and 144,940,137.06
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Solution
The fourth proportional to 216,344,305.74, 298,658,090.88 and 144,940,137.06 is: 200,086,359.93
Step by Step Solution
- Step 1: Write the proportion equation
216,344,305.74 : 298,658,090.88 = 144,940,137.06 : x - Step 2: Convert to fraction form
216,344,305.74/298,658,090.88 = 144,940,137.06/x - Step 3: Cross multiply
216,344,305.74x = 298,658,090.88 × 144,940,137.06 - Step 4: Simplify right side
216,344,305.74x = 43,287,544,626,225,136 - Step 5: Solve for x
x = 43,287,544,626,225,136/216,344,305.74 - Step 6: Final answer
x = 200,086,359.93
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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.