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Finding the Fourth Proportional to 279,462.24, 419,255.24 and 101,968.76

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Solution

The fourth proportional to 279,462.24, 419,255.24 and 101,968.76 is: 152,975.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,462.24 : 419,255.24 = 101,968.76 : x
  2. Step 2: Convert to fraction form
    279,462.24/419,255.24 = 101,968.76/x
  3. Step 3: Cross multiply
    279,462.24x = 419,255.24 × 101,968.76
  4. Step 4: Simplify right side
    279,462.24x = 42,750,936,946.30
  5. Step 5: Solve for x
    x = 42,750,936,946.30/279,462.24
  6. Step 6: Final answer
    x = 152,975.72

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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.