Finding the Fourth Proportional to 1,603,826,189.97, 2,213,240,637.18 and 889,357,795.30
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Solution
The fourth proportional to 1,603,826,189.97, 2,213,240,637.18 and 889,357,795.30 is: 1,227,291,851.11
Step by Step Solution
- Step 1: Write the proportion equation
1,603,826,189.97 : 2,213,240,637.18 = 889,357,795.30 : x - Step 2: Convert to fraction form
1,603,826,189.97/2,213,240,637.18 = 889,357,795.30/x - Step 3: Cross multiply
1,603,826,189.97x = 2,213,240,637.18 × 889,357,795.30 - Step 4: Simplify right side
1,603,826,189.97x = 1,968,362,813,550,771,712 - Step 5: Solve for x
x = 1,968,362,813,550,771,712/1,603,826,189.97 - Step 6: Final answer
x = 1,227,291,851.11
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1.5x scale
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.