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Finding the Fourth Proportional to 384,203.78, 576,297.59 and 128,054.90

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Solution

The fourth proportional to 384,203.78, 576,297.59 and 128,054.90 is: 192,079.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,203.78 : 576,297.59 = 128,054.90 : x
  2. Step 2: Convert to fraction form
    384,203.78/576,297.59 = 128,054.90/x
  3. Step 3: Cross multiply
    384,203.78x = 576,297.59 × 128,054.90
  4. Step 4: Simplify right side
    384,203.78x = 73,797,726,735.93
  5. Step 5: Solve for x
    x = 73,797,726,735.93/384,203.78
  6. Step 6: Final answer
    x = 192,079.65

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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.