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Finding the Fourth Proportional to 412,608.20, 618,912.30 and 307,632.20

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Solution

The fourth proportional to 412,608.20, 618,912.30 and 307,632.20 is: 461,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,608.20 : 618,912.30 = 307,632.20 : x
  2. Step 2: Convert to fraction form
    412,608.20/618,912.30 = 307,632.20/x
  3. Step 3: Cross multiply
    412,608.20x = 618,912.30 × 307,632.20
  4. Step 4: Simplify right side
    412,608.20x = 190,397,352,456.06
  5. Step 5: Solve for x
    x = 190,397,352,456.06/412,608.20
  6. Step 6: Final answer
    x = 461,448.30

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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.