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Finding the Fourth Proportional to 296,082, 408,596.40 and 161,946

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Solution

The fourth proportional to 296,082, 408,596.40 and 161,946 is: 223,487.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,082 : 408,596.40 = 161,946 : x
  2. Step 2: Convert to fraction form
    296,082/408,596.40 = 161,946/x
  3. Step 3: Cross multiply
    296,082x = 408,596.40 × 161,946
  4. Step 4: Simplify right side
    296,082x = 66,170,552,594.40
  5. Step 5: Solve for x
    x = 66,170,552,594.40/296,082
  6. Step 6: Final answer
    x = 223,487.25

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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.