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Finding the Fourth Proportional to 259,740.80, 389,611.20 and 119,772.80

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Solution

The fourth proportional to 259,740.80, 389,611.20 and 119,772.80 is: 179,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,740.80 : 389,611.20 = 119,772.80 : x
  2. Step 2: Convert to fraction form
    259,740.80/389,611.20 = 119,772.80/x
  3. Step 3: Cross multiply
    259,740.80x = 389,611.20 × 119,772.80
  4. Step 4: Simplify right side
    259,740.80x = 46,664,824,335.36
  5. Step 5: Solve for x
    x = 46,664,824,335.36/259,740.80
  6. Step 6: Final answer
    x = 179,659.20

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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.