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Finding the Fourth Proportional to 384,240, 576,363.24 and 134,922

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Solution

The fourth proportional to 384,240, 576,363.24 and 134,922 is: 202,384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,240 : 576,363.24 = 134,922 : x
  2. Step 2: Convert to fraction form
    384,240/576,363.24 = 134,922/x
  3. Step 3: Cross multiply
    384,240x = 576,363.24 × 134,922
  4. Step 4: Simplify right side
    384,240x = 77,764,081,067.28
  5. Step 5: Solve for x
    x = 77,764,081,067.28/384,240
  6. Step 6: Final answer
    x = 202,384.14

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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.