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Finding the Fourth Proportional to 256,337.04, 384,571.20 and 78,845.58

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Solution

The fourth proportional to 256,337.04, 384,571.20 and 78,845.58 is: 118,288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,337.04 : 384,571.20 = 78,845.58 : x
  2. Step 2: Convert to fraction form
    256,337.04/384,571.20 = 78,845.58/x
  3. Step 3: Cross multiply
    256,337.04x = 384,571.20 × 78,845.58
  4. Step 4: Simplify right side
    256,337.04x = 30,321,739,315.30
  5. Step 5: Solve for x
    x = 30,321,739,315.30/256,337.04
  6. Step 6: Final answer
    x = 118,288.56

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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.