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Finding the Fourth Proportional to 309,730.91, 464,765.63 and 120,198.74

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Solution

The fourth proportional to 309,730.91, 464,765.63 and 120,198.74 is: 180,363.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,730.91 : 464,765.63 = 120,198.74 : x
  2. Step 2: Convert to fraction form
    309,730.91/464,765.63 = 120,198.74/x
  3. Step 3: Cross multiply
    309,730.91x = 464,765.63 × 120,198.74
  4. Step 4: Simplify right side
    309,730.91x = 55,864,240,196.48
  5. Step 5: Solve for x
    x = 55,864,240,196.48/309,730.91
  6. Step 6: Final answer
    x = 180,363.79

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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.