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Finding the Fourth Proportional to 419,978.70, 629,968.05 and 412,980.30

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Solution

The fourth proportional to 419,978.70, 629,968.05 and 412,980.30 is: 619,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,978.70 : 629,968.05 = 412,980.30 : x
  2. Step 2: Convert to fraction form
    419,978.70/629,968.05 = 412,980.30/x
  3. Step 3: Cross multiply
    419,978.70x = 629,968.05 × 412,980.30
  4. Step 4: Simplify right side
    419,978.70x = 260,164,394,279.42
  5. Step 5: Solve for x
    x = 260,164,394,279.42/419,978.70
  6. Step 6: Final answer
    x = 619,470.45

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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.