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Finding the Fourth Proportional to 273,009.20, 409,440.90 and 83,469.20

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Solution

The fourth proportional to 273,009.20, 409,440.90 and 83,469.20 is: 125,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,009.20 : 409,440.90 = 83,469.20 : x
  2. Step 2: Convert to fraction form
    273,009.20/409,440.90 = 83,469.20/x
  3. Step 3: Cross multiply
    273,009.20x = 409,440.90 × 83,469.20
  4. Step 4: Simplify right side
    273,009.20x = 34,175,704,370.28
  5. Step 5: Solve for x
    x = 34,175,704,370.28/273,009.20
  6. Step 6: Final answer
    x = 125,181.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.