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Finding the Fourth Proportional to 354,099.80, 531,232.58 and 140,879.78

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Solution

The fourth proportional to 354,099.80, 531,232.58 and 140,879.78 is: 211,352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,099.80 : 531,232.58 = 140,879.78 : x
  2. Step 2: Convert to fraction form
    354,099.80/531,232.58 = 140,879.78/x
  3. Step 3: Cross multiply
    354,099.80x = 531,232.58 × 140,879.78
  4. Step 4: Simplify right side
    354,099.80x = 74,839,928,999.23
  5. Step 5: Solve for x
    x = 74,839,928,999.23/354,099.80
  6. Step 6: Final answer
    x = 211,352.64

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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.