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Finding the Fourth Proportional to 419,400.20, 629,714.70 and 295,291.40

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Solution

The fourth proportional to 419,400.20, 629,714.70 and 295,291.40 is: 443,369.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,400.20 : 629,714.70 = 295,291.40 : x
  2. Step 2: Convert to fraction form
    419,400.20/629,714.70 = 295,291.40/x
  3. Step 3: Cross multiply
    419,400.20x = 629,714.70 × 295,291.40
  4. Step 4: Simplify right side
    419,400.20x = 185,949,335,363.58
  5. Step 5: Solve for x
    x = 185,949,335,363.58/419,400.20
  6. Step 6: Final answer
    x = 443,369.69

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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.