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Finding the Fourth Proportional to 329,713.20, 494,569.80 and 80,395.20

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Solution

The fourth proportional to 329,713.20, 494,569.80 and 80,395.20 is: 120,592.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,713.20 : 494,569.80 = 80,395.20 : x
  2. Step 2: Convert to fraction form
    329,713.20/494,569.80 = 80,395.20/x
  3. Step 3: Cross multiply
    329,713.20x = 494,569.80 × 80,395.20
  4. Step 4: Simplify right side
    329,713.20x = 39,761,037,984.96
  5. Step 5: Solve for x
    x = 39,761,037,984.96/329,713.20
  6. Step 6: Final answer
    x = 120,592.80

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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.