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Finding the Fourth Proportional to 259,744.80, 389,617.20 and 148,845.60

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Solution

The fourth proportional to 259,744.80, 389,617.20 and 148,845.60 is: 223,268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,744.80 : 389,617.20 = 148,845.60 : x
  2. Step 2: Convert to fraction form
    259,744.80/389,617.20 = 148,845.60/x
  3. Step 3: Cross multiply
    259,744.80x = 389,617.20 × 148,845.60
  4. Step 4: Simplify right side
    259,744.80x = 57,992,805,904.32
  5. Step 5: Solve for x
    x = 57,992,805,904.32/259,744.80
  6. Step 6: Final answer
    x = 223,268.40

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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.