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Finding the Fourth Proportional to 206,478, 309,507.84 and 139,924.88

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Solution

The fourth proportional to 206,478, 309,507.84 and 139,924.88 is: 209,745.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,478 : 309,507.84 = 139,924.88 : x
  2. Step 2: Convert to fraction form
    206,478/309,507.84 = 139,924.88/x
  3. Step 3: Cross multiply
    206,478x = 309,507.84 × 139,924.88
  4. Step 4: Simplify right side
    206,478x = 43,307,847,371.06
  5. Step 5: Solve for x
    x = 43,307,847,371.06/206,478
  6. Step 6: Final answer
    x = 209,745.58

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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.