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Finding the Fourth Proportional to 309,940.20, 464,729.65 and 120,178.87

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Solution

The fourth proportional to 309,940.20, 464,729.65 and 120,178.87 is: 180,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,940.20 : 464,729.65 = 120,178.87 : x
  2. Step 2: Convert to fraction form
    309,940.20/464,729.65 = 120,178.87/x
  3. Step 3: Cross multiply
    309,940.20x = 464,729.65 × 120,178.87
  4. Step 4: Simplify right side
    309,940.20x = 55,850,682,730.22
  5. Step 5: Solve for x
    x = 55,850,682,730.22/309,940.20
  6. Step 6: Final answer
    x = 180,198.25

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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.