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Finding the Fourth Proportional to 502,638.90, 754,067.70 and 165,622.20

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Solution

The fourth proportional to 502,638.90, 754,067.70 and 165,622.20 is: 248,469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,638.90 : 754,067.70 = 165,622.20 : x
  2. Step 2: Convert to fraction form
    502,638.90/754,067.70 = 165,622.20/x
  3. Step 3: Cross multiply
    502,638.90x = 754,067.70 × 165,622.20
  4. Step 4: Simplify right side
    502,638.90x = 124,890,351,422.94
  5. Step 5: Solve for x
    x = 124,890,351,422.94/502,638.90
  6. Step 6: Final answer
    x = 248,469.33

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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.