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Finding the Fourth Proportional to 279,818.40, 419,727.60 and 161,428.80

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Solution

The fourth proportional to 279,818.40, 419,727.60 and 161,428.80 is: 242,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,818.40 : 419,727.60 = 161,428.80 : x
  2. Step 2: Convert to fraction form
    279,818.40/419,727.60 = 161,428.80/x
  3. Step 3: Cross multiply
    279,818.40x = 419,727.60 × 161,428.80
  4. Step 4: Simplify right side
    279,818.40x = 67,756,122,794.88
  5. Step 5: Solve for x
    x = 67,756,122,794.88/279,818.40
  6. Step 6: Final answer
    x = 242,143.20

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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.