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Finding the Fourth Proportional to 309,730.28, 464,764.69 and 120,198.11

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Solution

The fourth proportional to 309,730.28, 464,764.69 and 120,198.11 is: 180,362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,730.28 : 464,764.69 = 120,198.11 : x
  2. Step 2: Convert to fraction form
    309,730.28/464,764.69 = 120,198.11/x
  3. Step 3: Cross multiply
    309,730.28x = 464,764.69 × 120,198.11
  4. Step 4: Simplify right side
    309,730.28x = 55,863,837,332.74
  5. Step 5: Solve for x
    x = 55,863,837,332.74/309,730.28
  6. Step 6: Final answer
    x = 180,362.85

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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.