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Finding the Fourth Proportional to 613,246.88, 920,023.41 and 213,893.39

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Solution

The fourth proportional to 613,246.88, 920,023.41 and 213,893.39 is: 320,893.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,246.88 : 920,023.41 = 213,893.39 : x
  2. Step 2: Convert to fraction form
    613,246.88/920,023.41 = 213,893.39/x
  3. Step 3: Cross multiply
    613,246.88x = 920,023.41 × 213,893.39
  4. Step 4: Simplify right side
    613,246.88x = 196,786,926,044.26
  5. Step 5: Solve for x
    x = 196,786,926,044.26/613,246.88
  6. Step 6: Final answer
    x = 320,893.48

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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.