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Finding the Fourth Proportional to 340,709.87, 470,200.20 and 187,747.80

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Solution

The fourth proportional to 340,709.87, 470,200.20 and 187,747.80 is: 259,103.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,709.87 : 470,200.20 = 187,747.80 : x
  2. Step 2: Convert to fraction form
    340,709.87/470,200.20 = 187,747.80/x
  3. Step 3: Cross multiply
    340,709.87x = 470,200.20 × 187,747.80
  4. Step 4: Simplify right side
    340,709.87x = 88,279,053,109.56
  5. Step 5: Solve for x
    x = 88,279,053,109.56/340,709.87
  6. Step 6: Final answer
    x = 259,103.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.