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Finding the Fourth Proportional to 274,950, 379,373.40 and 161,785.20

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Solution

The fourth proportional to 274,950, 379,373.40 and 161,785.20 is: 223,229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,950 : 379,373.40 = 161,785.20 : x
  2. Step 2: Convert to fraction form
    274,950/379,373.40 = 161,785.20/x
  3. Step 3: Cross multiply
    274,950x = 379,373.40 × 161,785.20
  4. Step 4: Simplify right side
    274,950x = 61,377,001,393.68
  5. Step 5: Solve for x
    x = 61,377,001,393.68/274,950
  6. Step 6: Final answer
    x = 223,229.68

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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.