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Finding the Fourth Proportional to 329,078.40, 494,200.80 and 254,380.20

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Solution

The fourth proportional to 329,078.40, 494,200.80 and 254,380.20 is: 382,021.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,078.40 : 494,200.80 = 254,380.20 : x
  2. Step 2: Convert to fraction form
    329,078.40/494,200.80 = 254,380.20/x
  3. Step 3: Cross multiply
    329,078.40x = 494,200.80 × 254,380.20
  4. Step 4: Simplify right side
    329,078.40x = 125,714,898,344.16
  5. Step 5: Solve for x
    x = 125,714,898,344.16/329,078.40
  6. Step 6: Final answer
    x = 382,021.12

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1.5x scale

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.