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Finding the Fourth Proportional to 412,525.88, 618,789.34 and 113,009.07

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Solution

The fourth proportional to 412,525.88, 618,789.34 and 113,009.07 is: 169,513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,525.88 : 618,789.34 = 113,009.07 : x
  2. Step 2: Convert to fraction form
    412,525.88/618,789.34 = 113,009.07/x
  3. Step 3: Cross multiply
    412,525.88x = 618,789.34 × 113,009.07
  4. Step 4: Simplify right side
    412,525.88x = 69,928,810,301.04
  5. Step 5: Solve for x
    x = 69,928,810,301.04/412,525.88
  6. Step 6: Final answer
    x = 169,513.75

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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.