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Finding the Fourth Proportional to 499,651.82, 749,763.41 and 211,440.76

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Solution

The fourth proportional to 499,651.82, 749,763.41 and 211,440.76 is: 317,282.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,651.82 : 749,763.41 = 211,440.76 : x
  2. Step 2: Convert to fraction form
    499,651.82/749,763.41 = 211,440.76/x
  3. Step 3: Cross multiply
    499,651.82x = 749,763.41 × 211,440.76
  4. Step 4: Simplify right side
    499,651.82x = 158,530,542,298.98
  5. Step 5: Solve for x
    x = 158,530,542,298.98/499,651.82
  6. Step 6: Final answer
    x = 317,282.03

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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.