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Finding the Fourth Proportional to 412,080.36, 618,023.49 and 112,489.68

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Solution

The fourth proportional to 412,080.36, 618,023.49 and 112,489.68 is: 168,708.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,080.36 : 618,023.49 = 112,489.68 : x
  2. Step 2: Convert to fraction form
    412,080.36/618,023.49 = 112,489.68/x
  3. Step 3: Cross multiply
    412,080.36x = 618,023.49 × 112,489.68
  4. Step 4: Simplify right side
    412,080.36x = 69,521,264,622.58
  5. Step 5: Solve for x
    x = 69,521,264,622.58/412,080.36
  6. Step 6: Final answer
    x = 168,708.03

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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.