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Finding the Fourth Proportional to 423,510, 635,265 and 128,022

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Solution

The fourth proportional to 423,510, 635,265 and 128,022 is: 192,033

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,510 : 635,265 = 128,022 : x
  2. Step 2: Convert to fraction form
    423,510/635,265 = 128,022/x
  3. Step 3: Cross multiply
    423,510x = 635,265 × 128,022
  4. Step 4: Simplify right side
    423,510x = 81,327,895,830
  5. Step 5: Solve for x
    x = 81,327,895,830/423,510
  6. Step 6: Final answer
    x = 192,033

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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.