Finding the Fourth Proportional to 2,138,470,524.90, 3,205,851,058.08 and 827,470,236.66
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Solution
The fourth proportional to 2,138,470,524.90, 3,205,851,058.08 and 827,470,236.66 is: 1,240,487,676.98
Step by Step Solution
- Step 1: Write the proportion equation
2,138,470,524.90 : 3,205,851,058.08 = 827,470,236.66 : x - Step 2: Convert to fraction form
2,138,470,524.90/3,205,851,058.08 = 827,470,236.66/x - Step 3: Cross multiply
2,138,470,524.90x = 3,205,851,058.08 × 827,470,236.66 - Step 4: Simplify right side
2,138,470,524.90x = 2,652,746,333,726,169,088 - Step 5: Solve for x
x = 2,652,746,333,726,169,088/2,138,470,524.90 - Step 6: Final answer
x = 1,240,487,676.98
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.