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Finding the Fourth Proportional to 259,634.60, 389,464.70 and 135,218.60

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Solution

The fourth proportional to 259,634.60, 389,464.70 and 135,218.60 is: 202,834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,634.60 : 389,464.70 = 135,218.60 : x
  2. Step 2: Convert to fraction form
    259,634.60/389,464.70 = 135,218.60/x
  3. Step 3: Cross multiply
    259,634.60x = 389,464.70 × 135,218.60
  4. Step 4: Simplify right side
    259,634.60x = 52,662,871,483.42
  5. Step 5: Solve for x
    x = 52,662,871,483.42/259,634.60
  6. Step 6: Final answer
    x = 202,834.57

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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.