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Finding the Fourth Proportional to 279,814.40, 419,721.60 and 161,424.80

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Solution

The fourth proportional to 279,814.40, 419,721.60 and 161,424.80 is: 242,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,814.40 : 419,721.60 = 161,424.80 : x
  2. Step 2: Convert to fraction form
    279,814.40/419,721.60 = 161,424.80/x
  3. Step 3: Cross multiply
    279,814.40x = 419,721.60 × 161,424.80
  4. Step 4: Simplify right side
    279,814.40x = 67,753,475,335.68
  5. Step 5: Solve for x
    x = 67,753,475,335.68/279,814.40
  6. Step 6: Final answer
    x = 242,137.20

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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.