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Finding the Fourth Proportional to 279,984.48, 419,710.56 and 178,497.60

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Solution

The fourth proportional to 279,984.48, 419,710.56 and 178,497.60 is: 267,576.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,984.48 : 419,710.56 = 178,497.60 : x
  2. Step 2: Convert to fraction form
    279,984.48/419,710.56 = 178,497.60/x
  3. Step 3: Cross multiply
    279,984.48x = 419,710.56 × 178,497.60
  4. Step 4: Simplify right side
    279,984.48x = 74,917,327,654.66
  5. Step 5: Solve for x
    x = 74,917,327,654.66/279,984.48
  6. Step 6: Final answer
    x = 267,576.72

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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.