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Finding the Fourth Proportional to 296,047.88, 408,549.30 and 161,909

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Solution

The fourth proportional to 296,047.88, 408,549.30 and 161,909 is: 223,436.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,047.88 : 408,549.30 = 161,909 : x
  2. Step 2: Convert to fraction form
    296,047.88/408,549.30 = 161,909/x
  3. Step 3: Cross multiply
    296,047.88x = 408,549.30 × 161,909
  4. Step 4: Simplify right side
    296,047.88x = 66,147,808,613.70
  5. Step 5: Solve for x
    x = 66,147,808,613.70/296,047.88
  6. Step 6: Final answer
    x = 223,436.18

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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.