Finding the Fourth Proportional to 1,153,008,364.74, 1,729,154,847.33 and 415,982,457.06
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Solution
The fourth proportional to 1,153,008,364.74, 1,729,154,847.33 and 415,982,457.06 is: 623,844,634.63
Step by Step Solution
- Step 1: Write the proportion equation
1,153,008,364.74 : 1,729,154,847.33 = 415,982,457.06 : x - Step 2: Convert to fraction form
1,153,008,364.74/1,729,154,847.33 = 415,982,457.06/x - Step 3: Cross multiply
1,153,008,364.74x = 1,729,154,847.33 × 415,982,457.06 - Step 4: Simplify right side
1,153,008,364.74x = 719,298,082,029,542,528 - Step 5: Solve for x
x = 719,298,082,029,542,528/1,153,008,364.74 - Step 6: Final answer
x = 623,844,634.63
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1.5x scale
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.