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Finding the Fourth Proportional to 272,258.56, 408,470.96 and 139,232.24

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Solution

The fourth proportional to 272,258.56, 408,470.96 and 139,232.24 is: 208,890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,258.56 : 408,470.96 = 139,232.24 : x
  2. Step 2: Convert to fraction form
    272,258.56/408,470.96 = 139,232.24/x
  3. Step 3: Cross multiply
    272,258.56x = 408,470.96 × 139,232.24
  4. Step 4: Simplify right side
    272,258.56x = 56,872,326,735.75
  5. Step 5: Solve for x
    x = 56,872,326,735.75/272,258.56
  6. Step 6: Final answer
    x = 208,890.87

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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.