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Finding the Fourth Proportional to 272,367.88, 408,807.78 and 142,629.80

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Solution

The fourth proportional to 272,367.88, 408,807.78 and 142,629.80 is: 214,078.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,367.88 : 408,807.78 = 142,629.80 : x
  2. Step 2: Convert to fraction form
    272,367.88/408,807.78 = 142,629.80/x
  3. Step 3: Cross multiply
    272,367.88x = 408,807.78 × 142,629.80
  4. Step 4: Simplify right side
    272,367.88x = 58,308,171,186.70
  5. Step 5: Solve for x
    x = 58,308,171,186.70/272,367.88
  6. Step 6: Final answer
    x = 214,078.74

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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.