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Finding the Fourth Proportional to 329,569.30, 494,469.15 and 142,714.90

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Solution

The fourth proportional to 329,569.30, 494,469.15 and 142,714.90 is: 214,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,569.30 : 494,469.15 = 142,714.90 : x
  2. Step 2: Convert to fraction form
    329,569.30/494,469.15 = 142,714.90/x
  3. Step 3: Cross multiply
    329,569.30x = 494,469.15 × 142,714.90
  4. Step 4: Simplify right side
    329,569.30x = 70,568,115,295.34
  5. Step 5: Solve for x
    x = 70,568,115,295.34/329,569.30
  6. Step 6: Final answer
    x = 214,122.24

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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.