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Finding the Fourth Proportional to 329,751, 494,351.10 and 140,360.04

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Solution

The fourth proportional to 329,751, 494,351.10 and 140,360.04 is: 210,422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,751 : 494,351.10 = 140,360.04 : x
  2. Step 2: Convert to fraction form
    329,751/494,351.10 = 140,360.04/x
  3. Step 3: Cross multiply
    329,751x = 494,351.10 × 140,360.04
  4. Step 4: Simplify right side
    329,751x = 69,387,140,170.04
  5. Step 5: Solve for x
    x = 69,387,140,170.04/329,751
  6. Step 6: Final answer
    x = 210,422.83

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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.