Finding the Fourth Proportional to 709,538.68, 1,063,742.90 and 409,679.12
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Solution
The fourth proportional to 709,538.68, 1,063,742.90 and 409,679.12 is: 614,192.39
Step by Step Solution
- Step 1: Write the proportion equation
709,538.68 : 1,063,742.90 = 409,679.12 : x - Step 2: Convert to fraction form
709,538.68/1,063,742.90 = 409,679.12/x - Step 3: Cross multiply
709,538.68x = 1,063,742.90 × 409,679.12 - Step 4: Simplify right side
709,538.68x = 435,793,255,178.25 - Step 5: Solve for x
x = 435,793,255,178.25/709,538.68 - Step 6: Final answer
x = 614,192.39
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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.