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Finding the Fourth Proportional to 216,162.56, 324,358 and 153,388.32

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Solution

The fourth proportional to 216,162.56, 324,358 and 153,388.32 is: 230,163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,162.56 : 324,358 = 153,388.32 : x
  2. Step 2: Convert to fraction form
    216,162.56/324,358 = 153,388.32/x
  3. Step 3: Cross multiply
    216,162.56x = 324,358 × 153,388.32
  4. Step 4: Simplify right side
    216,162.56x = 49,752,728,698.56
  5. Step 5: Solve for x
    x = 49,752,728,698.56/216,162.56
  6. Step 6: Final answer
    x = 230,163.49

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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.