Finding the Fourth Proportional to 766,415,490.09, 1,057,653,839.68 and 413,991,636.50
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Solution
The fourth proportional to 766,415,490.09, 1,057,653,839.68 and 413,991,636.50 is: 571,308,708.66
Step by Step Solution
- Step 1: Write the proportion equation
766,415,490.09 : 1,057,653,839.68 = 413,991,636.50 : x - Step 2: Convert to fraction form
766,415,490.09/1,057,653,839.68 = 413,991,636.50/x - Step 3: Cross multiply
766,415,490.09x = 1,057,653,839.68 × 413,991,636.50 - Step 4: Simplify right side
766,415,490.09x = 437,859,843,941,380,608 - Step 5: Solve for x
x = 437,859,843,941,380,608/766,415,490.09 - Step 6: Final answer
x = 571,308,708.66
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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.