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Finding the Fourth Proportional to 397,757.60, 548,905.44 and 218,909.60

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Solution

The fourth proportional to 397,757.60, 548,905.44 and 218,909.60 is: 302,095.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,757.60 : 548,905.44 = 218,909.60 : x
  2. Step 2: Convert to fraction form
    397,757.60/548,905.44 = 218,909.60/x
  3. Step 3: Cross multiply
    397,757.60x = 548,905.44 × 218,909.60
  4. Step 4: Simplify right side
    397,757.60x = 120,160,670,308.22
  5. Step 5: Solve for x
    x = 120,160,670,308.22/397,757.60
  6. Step 6: Final answer
    x = 302,095.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.