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Finding the Fourth Proportional to 393,222.93, 589,738.51 and 108,906.09

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Solution

The fourth proportional to 393,222.93, 589,738.51 and 108,906.09 is: 163,332.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,222.93 : 589,738.51 = 108,906.09 : x
  2. Step 2: Convert to fraction form
    393,222.93/589,738.51 = 108,906.09/x
  3. Step 3: Cross multiply
    393,222.93x = 589,738.51 × 108,906.09
  4. Step 4: Simplify right side
    393,222.93x = 64,226,115,246.53
  5. Step 5: Solve for x
    x = 64,226,115,246.53/393,222.93
  6. Step 6: Final answer
    x = 163,332.58

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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.