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Finding the Fourth Proportional to 309,969.70, 464,954.55 and 110,515.30

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Solution

The fourth proportional to 309,969.70, 464,954.55 and 110,515.30 is: 165,772.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,969.70 : 464,954.55 = 110,515.30 : x
  2. Step 2: Convert to fraction form
    309,969.70/464,954.55 = 110,515.30/x
  3. Step 3: Cross multiply
    309,969.70x = 464,954.55 × 110,515.30
  4. Step 4: Simplify right side
    309,969.70x = 51,384,591,579.62
  5. Step 5: Solve for x
    x = 51,384,591,579.62/309,969.70
  6. Step 6: Final answer
    x = 165,772.95

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1.5x scale

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.