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Finding the Fourth Proportional to 289,660.88, 434,491.92 and 123,448.88

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Solution

The fourth proportional to 289,660.88, 434,491.92 and 123,448.88 is: 185,173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,660.88 : 434,491.92 = 123,448.88 : x
  2. Step 2: Convert to fraction form
    289,660.88/434,491.92 = 123,448.88/x
  3. Step 3: Cross multiply
    289,660.88x = 434,491.92 × 123,448.88
  4. Step 4: Simplify right side
    289,660.88x = 53,637,538,720.59
  5. Step 5: Solve for x
    x = 53,637,538,720.59/289,660.88
  6. Step 6: Final answer
    x = 185,173.57

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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.