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Finding the Fourth Proportional to 309,493.62, 464,310.09 and 109,813.64

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Solution

The fourth proportional to 309,493.62, 464,310.09 and 109,813.64 is: 164,745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,493.62 : 464,310.09 = 109,813.64 : x
  2. Step 2: Convert to fraction form
    309,493.62/464,310.09 = 109,813.64/x
  3. Step 3: Cross multiply
    309,493.62x = 464,310.09 × 109,813.64
  4. Step 4: Simplify right side
    309,493.62x = 50,987,578,750.08
  5. Step 5: Solve for x
    x = 50,987,578,750.08/309,493.62
  6. Step 6: Final answer
    x = 164,745.17

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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.