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Finding the Fourth Proportional to 259,781.94, 389,375.64 and 117,735.48

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Solution

The fourth proportional to 259,781.94, 389,375.64 and 117,735.48 is: 176,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,781.94 : 389,375.64 = 117,735.48 : x
  2. Step 2: Convert to fraction form
    259,781.94/389,375.64 = 117,735.48/x
  3. Step 3: Cross multiply
    259,781.94x = 389,375.64 × 117,735.48
  4. Step 4: Simplify right side
    259,781.94x = 45,843,327,875.71
  5. Step 5: Solve for x
    x = 45,843,327,875.71/259,781.94
  6. Step 6: Final answer
    x = 176,468.49

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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.