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Finding the Fourth Proportional to 279,733.92, 419,642.22 and 102,199.44

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Solution

The fourth proportional to 279,733.92, 419,642.22 and 102,199.44 is: 153,314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,733.92 : 419,642.22 = 102,199.44 : x
  2. Step 2: Convert to fraction form
    279,733.92/419,642.22 = 102,199.44/x
  3. Step 3: Cross multiply
    279,733.92x = 419,642.22 × 102,199.44
  4. Step 4: Simplify right side
    279,733.92x = 42,887,199,884.36
  5. Step 5: Solve for x
    x = 42,887,199,884.36/279,733.92
  6. Step 6: Final answer
    x = 153,314.26

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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.