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Finding the Fourth Proportional to 419,953.20, 629,929.80 and 412,954.80

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Solution

The fourth proportional to 419,953.20, 629,929.80 and 412,954.80 is: 619,432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,953.20 : 629,929.80 = 412,954.80 : x
  2. Step 2: Convert to fraction form
    419,953.20/629,929.80 = 412,954.80/x
  3. Step 3: Cross multiply
    419,953.20x = 629,929.80 × 412,954.80
  4. Step 4: Simplify right side
    419,953.20x = 260,132,534,573.04
  5. Step 5: Solve for x
    x = 260,132,534,573.04/419,953.20
  6. Step 6: Final answer
    x = 619,432.20

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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.