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Finding the Fourth Proportional to 221,399.53, 305,509.22 and 129,505.30

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Solution

The fourth proportional to 221,399.53, 305,509.22 and 129,505.30 is: 178,704.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,399.53 : 305,509.22 = 129,505.30 : x
  2. Step 2: Convert to fraction form
    221,399.53/305,509.22 = 129,505.30/x
  3. Step 3: Cross multiply
    221,399.53x = 305,509.22 × 129,505.30
  4. Step 4: Simplify right side
    221,399.53x = 39,565,062,263.21
  5. Step 5: Solve for x
    x = 39,565,062,263.21/221,399.53
  6. Step 6: Final answer
    x = 178,704.37

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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.