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Finding the Fourth Proportional to 392,052, 588,078 and 170,436

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Solution

The fourth proportional to 392,052, 588,078 and 170,436 is: 255,654

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,052 : 588,078 = 170,436 : x
  2. Step 2: Convert to fraction form
    392,052/588,078 = 170,436/x
  3. Step 3: Cross multiply
    392,052x = 588,078 × 170,436
  4. Step 4: Simplify right side
    392,052x = 100,229,662,008
  5. Step 5: Solve for x
    x = 100,229,662,008/392,052
  6. Step 6: Final answer
    x = 255,654

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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.