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Finding the Fourth Proportional to 299,980.14, 413,977.02 and 203,213.60

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Solution

The fourth proportional to 299,980.14, 413,977.02 and 203,213.60 is: 280,437.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,980.14 : 413,977.02 = 203,213.60 : x
  2. Step 2: Convert to fraction form
    299,980.14/413,977.02 = 203,213.60/x
  3. Step 3: Cross multiply
    299,980.14x = 413,977.02 × 203,213.60
  4. Step 4: Simplify right side
    299,980.14x = 84,125,758,481.59
  5. Step 5: Solve for x
    x = 84,125,758,481.59/299,980.14
  6. Step 6: Final answer
    x = 280,437.76

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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.