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Finding the Fourth Proportional to 279,921.60, 419,898.60 and 80,256.60

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Solution

The fourth proportional to 279,921.60, 419,898.60 and 80,256.60 is: 120,389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,921.60 : 419,898.60 = 80,256.60 : x
  2. Step 2: Convert to fraction form
    279,921.60/419,898.60 = 80,256.60/x
  3. Step 3: Cross multiply
    279,921.60x = 419,898.60 × 80,256.60
  4. Step 4: Simplify right side
    279,921.60x = 33,699,633,980.76
  5. Step 5: Solve for x
    x = 33,699,633,980.76/279,921.60
  6. Step 6: Final answer
    x = 120,389.54

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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.