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Finding the Fourth Proportional to 617,138.22, 851,729.40 and 345,221.22

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Solution

The fourth proportional to 617,138.22, 851,729.40 and 345,221.22 is: 476,449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,138.22 : 851,729.40 = 345,221.22 : x
  2. Step 2: Convert to fraction form
    617,138.22/851,729.40 = 345,221.22/x
  3. Step 3: Cross multiply
    617,138.22x = 851,729.40 × 345,221.22
  4. Step 4: Simplify right side
    617,138.22x = 294,035,062,577.87
  5. Step 5: Solve for x
    x = 294,035,062,577.87/617,138.22
  6. Step 6: Final answer
    x = 476,449.28

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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.