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Finding the Fourth Proportional to 419,949.20, 629,923.80 and 412,950.80

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Solution

The fourth proportional to 419,949.20, 629,923.80 and 412,950.80 is: 619,426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,949.20 : 629,923.80 = 412,950.80 : x
  2. Step 2: Convert to fraction form
    419,949.20/629,923.80 = 412,950.80/x
  3. Step 3: Cross multiply
    419,949.20x = 629,923.80 × 412,950.80
  4. Step 4: Simplify right side
    419,949.20x = 260,127,537,149.04
  5. Step 5: Solve for x
    x = 260,127,537,149.04/419,949.20
  6. Step 6: Final answer
    x = 619,426.20

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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.