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Finding the Fourth Proportional to 329,722.80, 494,584.20 and 278,401.20

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Solution

The fourth proportional to 329,722.80, 494,584.20 and 278,401.20 is: 417,601.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,722.80 : 494,584.20 = 278,401.20 : x
  2. Step 2: Convert to fraction form
    329,722.80/494,584.20 = 278,401.20/x
  3. Step 3: Cross multiply
    329,722.80x = 494,584.20 × 278,401.20
  4. Step 4: Simplify right side
    329,722.80x = 137,692,834,781.04
  5. Step 5: Solve for x
    x = 137,692,834,781.04/329,722.80
  6. Step 6: Final answer
    x = 417,601.80

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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.