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Finding the Fourth Proportional to 206,469.96, 309,495.84 and 139,916.88

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Solution

The fourth proportional to 206,469.96, 309,495.84 and 139,916.88 is: 209,733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,469.96 : 309,495.84 = 139,916.88 : x
  2. Step 2: Convert to fraction form
    206,469.96/309,495.84 = 139,916.88/x
  3. Step 3: Cross multiply
    206,469.96x = 309,495.84 × 139,916.88
  4. Step 4: Simplify right side
    206,469.96x = 43,303,692,305.78
  5. Step 5: Solve for x
    x = 43,303,692,305.78/206,469.96
  6. Step 6: Final answer
    x = 209,733.62

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1.5x scale

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.