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Finding the Fourth Proportional to 419,819.10, 629,728.65 and 170,679.90

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Solution

The fourth proportional to 419,819.10, 629,728.65 and 170,679.90 is: 256,019.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,819.10 : 629,728.65 = 170,679.90 : x
  2. Step 2: Convert to fraction form
    419,819.10/629,728.65 = 170,679.90/x
  3. Step 3: Cross multiply
    419,819.10x = 629,728.65 × 170,679.90
  4. Step 4: Simplify right side
    419,819.10x = 107,482,023,009.14
  5. Step 5: Solve for x
    x = 107,482,023,009.14/419,819.10
  6. Step 6: Final answer
    x = 256,019.85

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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.