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Finding the Fourth Proportional to 427,581.86, 641,594.10 and 310,221.86

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Solution

The fourth proportional to 427,581.86, 641,594.10 and 310,221.86 is: 465,493.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,581.86 : 641,594.10 = 310,221.86 : x
  2. Step 2: Convert to fraction form
    427,581.86/641,594.10 = 310,221.86/x
  3. Step 3: Cross multiply
    427,581.86x = 641,594.10 × 310,221.86
  4. Step 4: Simplify right side
    427,581.86x = 199,036,515,067.03
  5. Step 5: Solve for x
    x = 199,036,515,067.03/427,581.86
  6. Step 6: Final answer
    x = 465,493.36

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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.