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Finding the Fourth Proportional to 340,619.91, 510,990 and 140,828.37

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Solution

The fourth proportional to 340,619.91, 510,990 and 140,828.37 is: 211,267.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,619.91 : 510,990 = 140,828.37 : x
  2. Step 2: Convert to fraction form
    340,619.91/510,990 = 140,828.37/x
  3. Step 3: Cross multiply
    340,619.91x = 510,990 × 140,828.37
  4. Step 4: Simplify right side
    340,619.91x = 71,961,888,786.30
  5. Step 5: Solve for x
    x = 71,961,888,786.30/340,619.91
  6. Step 6: Final answer
    x = 211,267.42

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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.