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Finding the Fourth Proportional to 305,831.07, 422,046.89 and 171,695.07

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Solution

The fourth proportional to 305,831.07, 422,046.89 and 171,695.07 is: 236,939.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,831.07 : 422,046.89 = 171,695.07 : x
  2. Step 2: Convert to fraction form
    305,831.07/422,046.89 = 171,695.07/x
  3. Step 3: Cross multiply
    305,831.07x = 422,046.89 × 171,695.07
  4. Step 4: Simplify right side
    305,831.07x = 72,463,369,463.36
  5. Step 5: Solve for x
    x = 72,463,369,463.36/305,831.07
  6. Step 6: Final answer
    x = 236,939.20

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1.5x scale

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.