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Finding the Fourth Proportional to 206,494.92, 309,676.71 and 140,360.04

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Solution

The fourth proportional to 206,494.92, 309,676.71 and 140,360.04 is: 210,495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,494.92 : 309,676.71 = 140,360.04 : x
  2. Step 2: Convert to fraction form
    206,494.92/309,676.71 = 140,360.04/x
  3. Step 3: Cross multiply
    206,494.92x = 309,676.71 × 140,360.04
  4. Step 4: Simplify right side
    206,494.92x = 43,466,235,402.67
  5. Step 5: Solve for x
    x = 43,466,235,402.67/206,494.92
  6. Step 6: Final answer
    x = 210,495.42

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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.