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Finding the Fourth Proportional to 419,957.70, 629,936.55 and 412,959.30

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Solution

The fourth proportional to 419,957.70, 629,936.55 and 412,959.30 is: 619,438.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,957.70 : 629,936.55 = 412,959.30 : x
  2. Step 2: Convert to fraction form
    419,957.70/629,936.55 = 412,959.30/x
  3. Step 3: Cross multiply
    419,957.70x = 629,936.55 × 412,959.30
  4. Step 4: Simplify right side
    419,957.70x = 260,138,156,732.42
  5. Step 5: Solve for x
    x = 260,138,156,732.42/419,957.70
  6. Step 6: Final answer
    x = 619,438.95

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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.