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Finding the Fourth Proportional to 312,786.40, 469,107.62 and 186,462.30

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Solution

The fourth proportional to 312,786.40, 469,107.62 and 186,462.30 is: 279,650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,786.40 : 469,107.62 = 186,462.30 : x
  2. Step 2: Convert to fraction form
    312,786.40/469,107.62 = 186,462.30/x
  3. Step 3: Cross multiply
    312,786.40x = 469,107.62 × 186,462.30
  4. Step 4: Simplify right side
    312,786.40x = 87,470,885,772.73
  5. Step 5: Solve for x
    x = 87,470,885,772.73/312,786.40
  6. Step 6: Final answer
    x = 279,650.54

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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.