Home / 209,179.24-313,424-120,507.32

Finding the Fourth Proportional to 209,179.24, 313,424 and 120,507.32

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Solution

The fourth proportional to 209,179.24, 313,424 and 120,507.32 is: 180,562.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,179.24 : 313,424 = 120,507.32 : x
  2. Step 2: Convert to fraction form
    209,179.24/313,424 = 120,507.32/x
  3. Step 3: Cross multiply
    209,179.24x = 313,424 × 120,507.32
  4. Step 4: Simplify right side
    209,179.24x = 37,769,886,263.68
  5. Step 5: Solve for x
    x = 37,769,886,263.68/209,179.24
  6. Step 6: Final answer
    x = 180,562.31

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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.