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Finding the Fourth Proportional to 423,464, 635,196 and 127,976

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Solution

The fourth proportional to 423,464, 635,196 and 127,976 is: 191,964

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,464 : 635,196 = 127,976 : x
  2. Step 2: Convert to fraction form
    423,464/635,196 = 127,976/x
  3. Step 3: Cross multiply
    423,464x = 635,196 × 127,976
  4. Step 4: Simplify right side
    423,464x = 81,289,843,296
  5. Step 5: Solve for x
    x = 81,289,843,296/423,464
  6. Step 6: Final answer
    x = 191,964

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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.