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Finding the Fourth Proportional to 423,402, 635,103 and 127,914

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Solution

The fourth proportional to 423,402, 635,103 and 127,914 is: 191,871

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,402 : 635,103 = 127,914 : x
  2. Step 2: Convert to fraction form
    423,402/635,103 = 127,914/x
  3. Step 3: Cross multiply
    423,402x = 635,103 × 127,914
  4. Step 4: Simplify right side
    423,402x = 81,238,565,142
  5. Step 5: Solve for x
    x = 81,238,565,142/423,402
  6. Step 6: Final answer
    x = 191,871

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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.