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Finding the Fourth Proportional to 526,492, 789,820.22 and 171,422.43

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Solution

The fourth proportional to 526,492, 789,820.22 and 171,422.43 is: 257,160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,492 : 789,820.22 = 171,422.43 : x
  2. Step 2: Convert to fraction form
    526,492/789,820.22 = 171,422.43/x
  3. Step 3: Cross multiply
    526,492x = 789,820.22 × 171,422.43
  4. Step 4: Simplify right side
    526,492x = 135,392,901,375.54
  5. Step 5: Solve for x
    x = 135,392,901,375.54/526,492
  6. Step 6: Final answer
    x = 257,160.42

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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.