Finding the Fourth Proportional to 783,899.24, 1,175,965.70 and 278,417.75
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Solution
The fourth proportional to 783,899.24, 1,175,965.70 and 278,417.75 is: 417,668.12
Step by Step Solution
- Step 1: Write the proportion equation
783,899.24 : 1,175,965.70 = 278,417.75 : x - Step 2: Convert to fraction form
783,899.24/1,175,965.70 = 278,417.75/x - Step 3: Cross multiply
783,899.24x = 1,175,965.70 × 278,417.75 - Step 4: Simplify right side
783,899.24x = 327,409,716,999.26 - Step 5: Solve for x
x = 327,409,716,999.26/783,899.24 - Step 6: Final answer
x = 417,668.12
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.