Finding the Fourth Proportional to 1,547,439,349.73, 2,135,457,206.82 and 842,589,643.50
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Solution
The fourth proportional to 1,547,439,349.73, 2,135,457,206.82 and 842,589,643.50 is: 1,162,768,755.31
Step by Step Solution
- Step 1: Write the proportion equation
1,547,439,349.73 : 2,135,457,206.82 = 842,589,643.50 : x - Step 2: Convert to fraction form
1,547,439,349.73/2,135,457,206.82 = 842,589,643.50/x - Step 3: Cross multiply
1,547,439,349.73x = 2,135,457,206.82 × 842,589,643.50 - Step 4: Simplify right side
1,547,439,349.73x = 1,799,314,126,603,969,536 - Step 5: Solve for x
x = 1,799,314,126,603,969,536/1,547,439,349.73 - Step 6: Final answer
x = 1,162,768,755.31
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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.