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Finding the Fourth Proportional to 234,408.65, 323,485.49 and 126,978.68

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Solution

The fourth proportional to 234,408.65, 323,485.49 and 126,978.68 is: 175,231.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,408.65 : 323,485.49 = 126,978.68 : x
  2. Step 2: Convert to fraction form
    234,408.65/323,485.49 = 126,978.68/x
  3. Step 3: Cross multiply
    234,408.65x = 323,485.49 × 126,978.68
  4. Step 4: Simplify right side
    234,408.65x = 41,075,759,884.46
  5. Step 5: Solve for x
    x = 41,075,759,884.46/234,408.65
  6. Step 6: Final answer
    x = 175,231.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.