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Finding the Fourth Proportional to 397,288.50, 548,258.14 and 218,440.50

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Solution

The fourth proportional to 397,288.50, 548,258.14 and 218,440.50 is: 301,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,288.50 : 548,258.14 = 218,440.50 : x
  2. Step 2: Convert to fraction form
    397,288.50/548,258.14 = 218,440.50/x
  3. Step 3: Cross multiply
    397,288.50x = 548,258.14 × 218,440.50
  4. Step 4: Simplify right side
    397,288.50x = 119,761,782,230.67
  5. Step 5: Solve for x
    x = 119,761,782,230.67/397,288.50
  6. Step 6: Final answer
    x = 301,447.90

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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.