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Finding the Fourth Proportional to 617,164.69, 851,647.26 and 345,185.52

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Solution

The fourth proportional to 617,164.69, 851,647.26 and 345,185.52 is: 476,333.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,164.69 : 851,647.26 = 345,185.52 : x
  2. Step 2: Convert to fraction form
    617,164.69/851,647.26 = 345,185.52/x
  3. Step 3: Cross multiply
    617,164.69x = 851,647.26 × 345,185.52
  4. Step 4: Simplify right side
    617,164.69x = 293,976,298,041.44
  5. Step 5: Solve for x
    x = 293,976,298,041.44/617,164.69
  6. Step 6: Final answer
    x = 476,333.64

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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.