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Finding the Fourth Proportional to 319,831.88, 479,750.24 and 109,471.64

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Solution

The fourth proportional to 319,831.88, 479,750.24 and 109,471.64 is: 164,208.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,831.88 : 479,750.24 = 109,471.64 : x
  2. Step 2: Convert to fraction form
    319,831.88/479,750.24 = 109,471.64/x
  3. Step 3: Cross multiply
    319,831.88x = 479,750.24 × 109,471.64
  4. Step 4: Simplify right side
    319,831.88x = 52,519,043,438.12
  5. Step 5: Solve for x
    x = 52,519,043,438.12/319,831.88
  6. Step 6: Final answer
    x = 164,208.28

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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.