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Finding the Fourth Proportional to 307,262.44, 423,781.80 and 199,866.78

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Solution

The fourth proportional to 307,262.44, 423,781.80 and 199,866.78 is: 275,659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,262.44 : 423,781.80 = 199,866.78 : x
  2. Step 2: Convert to fraction form
    307,262.44/423,781.80 = 199,866.78/x
  3. Step 3: Cross multiply
    307,262.44x = 423,781.80 × 199,866.78
  4. Step 4: Simplify right side
    307,262.44x = 84,699,903,788.60
  5. Step 5: Solve for x
    x = 84,699,903,788.60/307,262.44
  6. Step 6: Final answer
    x = 275,659.80

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1.5x scale

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.