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Finding the Fourth Proportional to 329,720.40, 495,163.80 and 255,022.20

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Solution

The fourth proportional to 329,720.40, 495,163.80 and 255,022.20 is: 382,984.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,720.40 : 495,163.80 = 255,022.20 : x
  2. Step 2: Convert to fraction form
    329,720.40/495,163.80 = 255,022.20/x
  3. Step 3: Cross multiply
    329,720.40x = 495,163.80 × 255,022.20
  4. Step 4: Simplify right side
    329,720.40x = 126,277,761,636.36
  5. Step 5: Solve for x
    x = 126,277,761,636.36/329,720.40
  6. Step 6: Final answer
    x = 382,984.38

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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.