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Finding the Fourth Proportional to 313,027.44, 468,491.40 and 256,865.28

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Solution

The fourth proportional to 313,027.44, 468,491.40 and 256,865.28 is: 384,436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,027.44 : 468,491.40 = 256,865.28 : x
  2. Step 2: Convert to fraction form
    313,027.44/468,491.40 = 256,865.28/x
  3. Step 3: Cross multiply
    313,027.44x = 468,491.40 × 256,865.28
  4. Step 4: Simplify right side
    313,027.44x = 120,339,174,638.59
  5. Step 5: Solve for x
    x = 120,339,174,638.59/313,027.44
  6. Step 6: Final answer
    x = 384,436.50

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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.