Finding the Fourth Proportional to 1,232,603,878.66, 1,847,748,438.09 and 414,143,798.02
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Solution
The fourth proportional to 1,232,603,878.66, 1,847,748,438.09 and 414,143,798.02 is: 620,826,827.81
Step by Step Solution
- Step 1: Write the proportion equation
1,232,603,878.66 : 1,847,748,438.09 = 414,143,798.02 : x - Step 2: Convert to fraction form
1,232,603,878.66/1,847,748,438.09 = 414,143,798.02/x - Step 3: Cross multiply
1,232,603,878.66x = 1,847,748,438.09 × 414,143,798.02 - Step 4: Simplify right side
1,232,603,878.66x = 765,233,555,936,115,328 - Step 5: Solve for x
x = 765,233,555,936,115,328/1,232,603,878.66 - Step 6: Final answer
x = 620,826,827.81
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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.