Finding the Fourth Proportional to 1,555,895,229.74, 2,147,141,886.06 and 841,430,783.02
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Solution
The fourth proportional to 1,555,895,229.74, 2,147,141,886.06 and 841,430,783.02 is: 1,161,177,979.02
Step by Step Solution
- Step 1: Write the proportion equation
1,555,895,229.74 : 2,147,141,886.06 = 841,430,783.02 : x - Step 2: Convert to fraction form
1,555,895,229.74/2,147,141,886.06 = 841,430,783.02/x - Step 3: Cross multiply
1,555,895,229.74x = 2,147,141,886.06 × 841,430,783.02 - Step 4: Simplify right side
1,555,895,229.74x = 1,806,671,278,442,505,216 - Step 5: Solve for x
x = 1,806,671,278,442,505,216/1,555,895,229.74 - Step 6: Final answer
x = 1,161,177,979.02
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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.