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Finding the Fourth Proportional to 340,014.20, 510,021.30 and 204,711.80

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Solution

The fourth proportional to 340,014.20, 510,021.30 and 204,711.80 is: 307,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,014.20 : 510,021.30 = 204,711.80 : x
  2. Step 2: Convert to fraction form
    340,014.20/510,021.30 = 204,711.80/x
  3. Step 3: Cross multiply
    340,014.20x = 510,021.30 × 204,711.80
  4. Step 4: Simplify right side
    340,014.20x = 104,407,378,361.34
  5. Step 5: Solve for x
    x = 104,407,378,361.34/340,014.20
  6. Step 6: Final answer
    x = 307,067.70

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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.