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Finding the Fourth Proportional to 209,429.56, 313,958.40 and 76,285

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Solution

The fourth proportional to 209,429.56, 313,958.40 and 76,285 is: 114,359.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,429.56 : 313,958.40 = 76,285 : x
  2. Step 2: Convert to fraction form
    209,429.56/313,958.40 = 76,285/x
  3. Step 3: Cross multiply
    209,429.56x = 313,958.40 × 76,285
  4. Step 4: Simplify right side
    209,429.56x = 23,950,316,544
  5. Step 5: Solve for x
    x = 23,950,316,544/209,429.56
  6. Step 6: Final answer
    x = 114,359.77

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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.