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Finding the Fourth Proportional to 324,017.28, 486,025.92 and 102,384

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Solution

The fourth proportional to 324,017.28, 486,025.92 and 102,384 is: 153,576.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,017.28 : 486,025.92 = 102,384 : x
  2. Step 2: Convert to fraction form
    324,017.28/486,025.92 = 102,384/x
  3. Step 3: Cross multiply
    324,017.28x = 486,025.92 × 102,384
  4. Step 4: Simplify right side
    324,017.28x = 49,761,277,793.28
  5. Step 5: Solve for x
    x = 49,761,277,793.28/324,017.28
  6. Step 6: Final answer
    x = 153,576.00

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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.