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Finding the Fourth Proportional to 408,671.40, 613,007.10 and 219,714.60

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Solution

The fourth proportional to 408,671.40, 613,007.10 and 219,714.60 is: 329,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,671.40 : 613,007.10 = 219,714.60 : x
  2. Step 2: Convert to fraction form
    408,671.40/613,007.10 = 219,714.60/x
  3. Step 3: Cross multiply
    408,671.40x = 613,007.10 × 219,714.60
  4. Step 4: Simplify right side
    408,671.40x = 134,686,609,773.66
  5. Step 5: Solve for x
    x = 134,686,609,773.66/408,671.40
  6. Step 6: Final answer
    x = 329,571.90

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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.