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Finding the Fourth Proportional to 239,896.44, 330,978.42 and 144,368.28

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Solution

The fourth proportional to 239,896.44, 330,978.42 and 144,368.28 is: 199,180.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,896.44 : 330,978.42 = 144,368.28 : x
  2. Step 2: Convert to fraction form
    239,896.44/330,978.42 = 144,368.28/x
  3. Step 3: Cross multiply
    239,896.44x = 330,978.42 × 144,368.28
  4. Step 4: Simplify right side
    239,896.44x = 47,782,785,212.52
  5. Step 5: Solve for x
    x = 47,782,785,212.52/239,896.44
  6. Step 6: Final answer
    x = 199,180.88

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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.