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Finding the Fourth Proportional to 279,937.52, 419,904.56 and 102,456.80

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Solution

The fourth proportional to 279,937.52, 419,904.56 and 102,456.80 is: 153,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,937.52 : 419,904.56 = 102,456.80 : x
  2. Step 2: Convert to fraction form
    279,937.52/419,904.56 = 102,456.80/x
  3. Step 3: Cross multiply
    279,937.52x = 419,904.56 × 102,456.80
  4. Step 4: Simplify right side
    279,937.52x = 43,022,077,523.01
  5. Step 5: Solve for x
    x = 43,022,077,523.01/279,937.52
  6. Step 6: Final answer
    x = 153,684.57

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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.