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Finding the Fourth Proportional to 340,481.94, 510,908.66 and 140,819.64

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Solution

The fourth proportional to 340,481.94, 510,908.66 and 140,819.64 is: 211,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,481.94 : 510,908.66 = 140,819.64 : x
  2. Step 2: Convert to fraction form
    340,481.94/510,908.66 = 140,819.64/x
  3. Step 3: Cross multiply
    340,481.94x = 510,908.66 × 140,819.64
  4. Step 4: Simplify right side
    340,481.94x = 71,945,973,574.08
  5. Step 5: Solve for x
    x = 71,945,973,574.08/340,481.94
  6. Step 6: Final answer
    x = 211,306.28

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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.