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Finding the Fourth Proportional to 259,524.60, 389,286.90 and 166,135.80

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Solution

The fourth proportional to 259,524.60, 389,286.90 and 166,135.80 is: 249,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,524.60 : 389,286.90 = 166,135.80 : x
  2. Step 2: Convert to fraction form
    259,524.60/389,286.90 = 166,135.80/x
  3. Step 3: Cross multiply
    259,524.60x = 389,286.90 × 166,135.80
  4. Step 4: Simplify right side
    259,524.60x = 64,674,490,561.02
  5. Step 5: Solve for x
    x = 64,674,490,561.02/259,524.60
  6. Step 6: Final answer
    x = 249,203.70

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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.