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Finding the Fourth Proportional to 412,727.60, 618,054.60 and 329,783.60

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Solution

The fourth proportional to 412,727.60, 618,054.60 and 329,783.60 is: 493,846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,727.60 : 618,054.60 = 329,783.60 : x
  2. Step 2: Convert to fraction form
    412,727.60/618,054.60 = 329,783.60/x
  3. Step 3: Cross multiply
    412,727.60x = 618,054.60 × 329,783.60
  4. Step 4: Simplify right side
    412,727.60x = 203,824,270,984.56
  5. Step 5: Solve for x
    x = 203,824,270,984.56/412,727.60
  6. Step 6: Final answer
    x = 493,846.96

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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.