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Finding the Fourth Proportional to 617,023.26, 851,489.64 and 345,090.06

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Solution

The fourth proportional to 617,023.26, 851,489.64 and 345,090.06 is: 476,222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,023.26 : 851,489.64 = 345,090.06 : x
  2. Step 2: Convert to fraction form
    617,023.26/851,489.64 = 345,090.06/x
  3. Step 3: Cross multiply
    617,023.26x = 851,489.64 × 345,090.06
  4. Step 4: Simplify right side
    617,023.26x = 293,840,610,956.98
  5. Step 5: Solve for x
    x = 293,840,610,956.98/617,023.26
  6. Step 6: Final answer
    x = 476,222.91

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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.