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Finding the Fourth Proportional to 279,367.29, 419,050.95 and 229,919.49

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Solution

The fourth proportional to 279,367.29, 419,050.95 and 229,919.49 is: 344,879.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,367.29 : 419,050.95 = 229,919.49 : x
  2. Step 2: Convert to fraction form
    279,367.29/419,050.95 = 229,919.49/x
  3. Step 3: Cross multiply
    279,367.29x = 419,050.95 × 229,919.49
  4. Step 4: Simplify right side
    279,367.29x = 96,347,980,708.02
  5. Step 5: Solve for x
    x = 96,347,980,708.02/279,367.29
  6. Step 6: Final answer
    x = 344,879.25

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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.