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Finding the Fourth Proportional to 617,086.12, 851,657.73 and 345,169.12

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Solution

The fourth proportional to 617,086.12, 851,657.73 and 345,169.12 is: 476,377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,086.12 : 851,657.73 = 345,169.12 : x
  2. Step 2: Convert to fraction form
    617,086.12/851,657.73 = 345,169.12/x
  3. Step 3: Cross multiply
    617,086.12x = 851,657.73 × 345,169.12
  4. Step 4: Simplify right side
    617,086.12x = 293,965,949,205.30
  5. Step 5: Solve for x
    x = 293,965,949,205.30/617,086.12
  6. Step 6: Final answer
    x = 476,377.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.