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Finding the Fourth Proportional to 384,239.50, 576,362.49 and 134,921.50

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Solution

The fourth proportional to 384,239.50, 576,362.49 and 134,921.50 is: 202,383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,239.50 : 576,362.49 = 134,921.50 : x
  2. Step 2: Convert to fraction form
    384,239.50/576,362.49 = 134,921.50/x
  3. Step 3: Cross multiply
    384,239.50x = 576,362.49 × 134,921.50
  4. Step 4: Simplify right side
    384,239.50x = 77,763,691,694.54
  5. Step 5: Solve for x
    x = 77,763,691,694.54/384,239.50
  6. Step 6: Final answer
    x = 202,383.39

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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.