Finding the Fourth Proportional to 511,232,005.80, 766,848,008.70 and 284,297,221.80
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Solution
The fourth proportional to 511,232,005.80, 766,848,008.70 and 284,297,221.80 is: 426,445,832.70
Step by Step Solution
- Step 1: Write the proportion equation
511,232,005.80 : 766,848,008.70 = 284,297,221.80 : x - Step 2: Convert to fraction form
511,232,005.80/766,848,008.70 = 284,297,221.80/x - Step 3: Cross multiply
511,232,005.80x = 766,848,008.70 × 284,297,221.80 - Step 4: Simplify right side
511,232,005.80x = 218,012,758,416,272,256 - Step 5: Solve for x
x = 218,012,758,416,272,256/511,232,005.80 - Step 6: Final answer
x = 426,445,832.70
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1.5x scale
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.