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Finding the Fourth Proportional to 305,935.53, 458,745.73 and 137,311.30

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Solution

The fourth proportional to 305,935.53, 458,745.73 and 137,311.30 is: 205,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,935.53 : 458,745.73 = 137,311.30 : x
  2. Step 2: Convert to fraction form
    305,935.53/458,745.73 = 137,311.30/x
  3. Step 3: Cross multiply
    305,935.53x = 458,745.73 × 137,311.30
  4. Step 4: Simplify right side
    305,935.53x = 62,990,972,785.90
  5. Step 5: Solve for x
    x = 62,990,972,785.90/305,935.53
  6. Step 6: Final answer
    x = 205,896.23

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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.