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Finding the Fourth Proportional to 234,978.60, 324,439.02 and 144,456

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Solution

The fourth proportional to 234,978.60, 324,439.02 and 144,456 is: 199,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,978.60 : 324,439.02 = 144,456 : x
  2. Step 2: Convert to fraction form
    234,978.60/324,439.02 = 144,456/x
  3. Step 3: Cross multiply
    234,978.60x = 324,439.02 × 144,456
  4. Step 4: Simplify right side
    234,978.60x = 46,867,163,073.12
  5. Step 5: Solve for x
    x = 46,867,163,073.12/234,978.60
  6. Step 6: Final answer
    x = 199,452.90

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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.