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Finding the Fourth Proportional to 309,682.12, 464,523.78 and 85,045.48

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Solution

The fourth proportional to 309,682.12, 464,523.78 and 85,045.48 is: 127,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,682.12 : 464,523.78 = 85,045.48 : x
  2. Step 2: Convert to fraction form
    309,682.12/464,523.78 = 85,045.48/x
  3. Step 3: Cross multiply
    309,682.12x = 464,523.78 × 85,045.48
  4. Step 4: Simplify right side
    309,682.12x = 39,505,647,841.51
  5. Step 5: Solve for x
    x = 39,505,647,841.51/309,682.12
  6. Step 6: Final answer
    x = 127,568.38

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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.