Finding the Fourth Proportional to 409,310,198.87, 564,905,682.65 and 260,583,810.62
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Solution
The fourth proportional to 409,310,198.87, 564,905,682.65 and 260,583,810.62 is: 359,642,334.42
Step by Step Solution
- Step 1: Write the proportion equation
409,310,198.87 : 564,905,682.65 = 260,583,810.62 : x - Step 2: Convert to fraction form
409,310,198.87/564,905,682.65 = 260,583,810.62/x - Step 3: Cross multiply
409,310,198.87x = 564,905,682.65 × 260,583,810.62 - Step 4: Simplify right side
409,310,198.87x = 147,205,275,424,526,496 - Step 5: Solve for x
x = 147,205,275,424,526,496/409,310,198.87 - Step 6: Final answer
x = 359,642,334.42
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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.