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Finding the Fourth Proportional to 272,367.37, 408,807.03 and 142,629.30

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Solution

The fourth proportional to 272,367.37, 408,807.03 and 142,629.30 is: 214,077.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,367.37 : 408,807.03 = 142,629.30 : x
  2. Step 2: Convert to fraction form
    272,367.37/408,807.03 = 142,629.30/x
  3. Step 3: Cross multiply
    272,367.37x = 408,807.03 × 142,629.30
  4. Step 4: Simplify right side
    272,367.37x = 58,307,859,989.12
  5. Step 5: Solve for x
    x = 58,307,859,989.12/272,367.37
  6. Step 6: Final answer
    x = 214,077.99

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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.