Finding the Fourth Proportional to 298,296,965.84, 411,662,646.35 and 166,138,021.13
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Solution
The fourth proportional to 298,296,965.84, 411,662,646.35 and 166,138,021.13 is: 229,277,616.83
Step by Step Solution
- Step 1: Write the proportion equation
298,296,965.84 : 411,662,646.35 = 166,138,021.13 : x - Step 2: Convert to fraction form
298,296,965.84/411,662,646.35 = 166,138,021.13/x - Step 3: Cross multiply
298,296,965.84x = 411,662,646.35 × 166,138,021.13 - Step 4: Simplify right side
298,296,965.84x = 68,392,817,434,839,016 - Step 5: Solve for x
x = 68,392,817,434,839,016/298,296,965.84 - Step 6: Final answer
x = 229,277,616.83
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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.