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Finding the Fourth Proportional to 207,898.80, 311,410.80 and 172,906.80

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Solution

The fourth proportional to 207,898.80, 311,410.80 and 172,906.80 is: 258,996.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,898.80 : 311,410.80 = 172,906.80 : x
  2. Step 2: Convert to fraction form
    207,898.80/311,410.80 = 172,906.80/x
  3. Step 3: Cross multiply
    207,898.80x = 311,410.80 × 172,906.80
  4. Step 4: Simplify right side
    207,898.80x = 53,845,044,913.44
  5. Step 5: Solve for x
    x = 53,845,044,913.44/207,898.80
  6. Step 6: Final answer
    x = 258,996.42

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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.