Finding the Fourth Proportional to 749,433.12, 1,034,242.42 and 409,901.34
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Solution
The fourth proportional to 749,433.12, 1,034,242.42 and 409,901.34 is: 565,677.37
Step by Step Solution
- Step 1: Write the proportion equation
749,433.12 : 1,034,242.42 = 409,901.34 : x - Step 2: Convert to fraction form
749,433.12/1,034,242.42 = 409,901.34/x - Step 3: Cross multiply
749,433.12x = 1,034,242.42 × 409,901.34 - Step 4: Simplify right side
749,433.12x = 423,937,353,842.84 - Step 5: Solve for x
x = 423,937,353,842.84/749,433.12 - Step 6: Final answer
x = 565,677.37
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1.5x scale
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.