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Finding the Fourth Proportional to 412,940.10, 619,410.15 and 307,964.10

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Solution

The fourth proportional to 412,940.10, 619,410.15 and 307,964.10 is: 461,946.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,940.10 : 619,410.15 = 307,964.10 : x
  2. Step 2: Convert to fraction form
    412,940.10/619,410.15 = 307,964.10/x
  3. Step 3: Cross multiply
    412,940.10x = 619,410.15 × 307,964.10
  4. Step 4: Simplify right side
    412,940.10x = 190,756,089,375.62
  5. Step 5: Solve for x
    x = 190,756,089,375.62/412,940.10
  6. Step 6: Final answer
    x = 461,946.15

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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.