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Finding the Fourth Proportional to 423,404, 635,106 and 127,916

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Solution

The fourth proportional to 423,404, 635,106 and 127,916 is: 191,874

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,404 : 635,106 = 127,916 : x
  2. Step 2: Convert to fraction form
    423,404/635,106 = 127,916/x
  3. Step 3: Cross multiply
    423,404x = 635,106 × 127,916
  4. Step 4: Simplify right side
    423,404x = 81,240,219,096
  5. Step 5: Solve for x
    x = 81,240,219,096/423,404
  6. Step 6: Final answer
    x = 191,874

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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.