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Finding the Fourth Proportional to 203,415.20, 304,831.20 and 149,687.90

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Solution

The fourth proportional to 203,415.20, 304,831.20 and 149,687.90 is: 224,317.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,415.20 : 304,831.20 = 149,687.90 : x
  2. Step 2: Convert to fraction form
    203,415.20/304,831.20 = 149,687.90/x
  3. Step 3: Cross multiply
    203,415.20x = 304,831.20 × 149,687.90
  4. Step 4: Simplify right side
    203,415.20x = 45,629,542,182.48
  5. Step 5: Solve for x
    x = 45,629,542,182.48/203,415.20
  6. Step 6: Final answer
    x = 224,317.27

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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.