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Finding the Fourth Proportional to 322,076.81, 480,946.32 and 263,029.61

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Solution

The fourth proportional to 322,076.81, 480,946.32 and 263,029.61 is: 392,773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,076.81 : 480,946.32 = 263,029.61 : x
  2. Step 2: Convert to fraction form
    322,076.81/480,946.32 = 263,029.61/x
  3. Step 3: Cross multiply
    322,076.81x = 480,946.32 × 263,029.61
  4. Step 4: Simplify right side
    322,076.81x = 126,503,119,589.44
  5. Step 5: Solve for x
    x = 126,503,119,589.44/322,076.81
  6. Step 6: Final answer
    x = 392,773.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.