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Finding the Fourth Proportional to 259,712.80, 389,300.40 and 141,133.60

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Solution

The fourth proportional to 259,712.80, 389,300.40 and 141,133.60 is: 211,554.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,712.80 : 389,300.40 = 141,133.60 : x
  2. Step 2: Convert to fraction form
    259,712.80/389,300.40 = 141,133.60/x
  3. Step 3: Cross multiply
    259,712.80x = 389,300.40 × 141,133.60
  4. Step 4: Simplify right side
    259,712.80x = 54,943,366,933.44
  5. Step 5: Solve for x
    x = 54,943,366,933.44/259,712.80
  6. Step 6: Final answer
    x = 211,554.33

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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.