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Finding the Fourth Proportional to 219,327.68, 329,007.72 and 193,213.28

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Solution

The fourth proportional to 219,327.68, 329,007.72 and 193,213.28 is: 289,834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,327.68 : 329,007.72 = 193,213.28 : x
  2. Step 2: Convert to fraction form
    219,327.68/329,007.72 = 193,213.28/x
  3. Step 3: Cross multiply
    219,327.68x = 329,007.72 × 193,213.28
  4. Step 4: Simplify right side
    219,327.68x = 63,568,660,726.52
  5. Step 5: Solve for x
    x = 63,568,660,726.52/219,327.68
  6. Step 6: Final answer
    x = 289,834.19

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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.