Finding the Fourth Proportional to 512,462,276.16, 707,198,623.92 and 277,513,342.08
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Solution
The fourth proportional to 512,462,276.16, 707,198,623.92 and 277,513,342.08 is: 382,968,781.84
Step by Step Solution
- Step 1: Write the proportion equation
512,462,276.16 : 707,198,623.92 = 277,513,342.08 : x - Step 2: Convert to fraction form
512,462,276.16/707,198,623.92 = 277,513,342.08/x - Step 3: Cross multiply
512,462,276.16x = 707,198,623.92 × 277,513,342.08 - Step 4: Simplify right side
512,462,276.16x = 196,257,053,638,416,192 - Step 5: Solve for x
x = 196,257,053,638,416,192/512,462,276.16 - Step 6: Final answer
x = 382,968,781.84
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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.