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Finding the Fourth Proportional to 305,831.70, 422,047.74 and 171,695.70

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Solution

The fourth proportional to 305,831.70, 422,047.74 and 171,695.70 is: 236,940.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,831.70 : 422,047.74 = 171,695.70 : x
  2. Step 2: Convert to fraction form
    305,831.70/422,047.74 = 171,695.70/x
  3. Step 3: Cross multiply
    305,831.70x = 422,047.74 × 171,695.70
  4. Step 4: Simplify right side
    305,831.70x = 72,463,782,152.72
  5. Step 5: Solve for x
    x = 72,463,782,152.72/305,831.70
  6. Step 6: Final answer
    x = 236,940.06

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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.