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Finding the Fourth Proportional to 419,972.20, 629,958.30 and 412,973.80

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Solution

The fourth proportional to 419,972.20, 629,958.30 and 412,973.80 is: 619,460.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,972.20 : 629,958.30 = 412,973.80 : x
  2. Step 2: Convert to fraction form
    419,972.20/629,958.30 = 412,973.80/x
  3. Step 3: Cross multiply
    419,972.20x = 629,958.30 × 412,973.80
  4. Step 4: Simplify right side
    419,972.20x = 260,156,272,992.54
  5. Step 5: Solve for x
    x = 260,156,272,992.54/419,972.20
  6. Step 6: Final answer
    x = 619,460.70

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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.