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Finding the Fourth Proportional to 254,576, 381,768 and 204,533.12

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Solution

The fourth proportional to 254,576, 381,768 and 204,533.12 is: 306,722.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,576 : 381,768 = 204,533.12 : x
  2. Step 2: Convert to fraction form
    254,576/381,768 = 204,533.12/x
  3. Step 3: Cross multiply
    254,576x = 381,768 × 204,533.12
  4. Step 4: Simplify right side
    254,576x = 78,084,200,156.16
  5. Step 5: Solve for x
    x = 78,084,200,156.16/254,576
  6. Step 6: Final answer
    x = 306,722.55

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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.