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Finding the Fourth Proportional to 279,982.40, 419,973.60 and 264,819.20

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Solution

The fourth proportional to 279,982.40, 419,973.60 and 264,819.20 is: 397,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,982.40 : 419,973.60 = 264,819.20 : x
  2. Step 2: Convert to fraction form
    279,982.40/419,973.60 = 264,819.20/x
  3. Step 3: Cross multiply
    279,982.40x = 419,973.60 × 264,819.20
  4. Step 4: Simplify right side
    279,982.40x = 111,217,072,773.12
  5. Step 5: Solve for x
    x = 111,217,072,773.12/279,982.40
  6. Step 6: Final answer
    x = 397,228.80

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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.