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Finding the Fourth Proportional to 259,288.90, 389,097.37 and 101,513.25

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Solution

The fourth proportional to 259,288.90, 389,097.37 and 101,513.25 is: 152,334.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,288.90 : 389,097.37 = 101,513.25 : x
  2. Step 2: Convert to fraction form
    259,288.90/389,097.37 = 101,513.25/x
  3. Step 3: Cross multiply
    259,288.90x = 389,097.37 × 101,513.25
  4. Step 4: Simplify right side
    259,288.90x = 39,498,538,722.04
  5. Step 5: Solve for x
    x = 39,498,538,722.04/259,288.90
  6. Step 6: Final answer
    x = 152,334.09

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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.