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Finding the Fourth Proportional to 218,212.64, 301,061.04 and 177,857

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Solution

The fourth proportional to 218,212.64, 301,061.04 and 177,857 is: 245,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,212.64 : 301,061.04 = 177,857 : x
  2. Step 2: Convert to fraction form
    218,212.64/301,061.04 = 177,857/x
  3. Step 3: Cross multiply
    218,212.64x = 301,061.04 × 177,857
  4. Step 4: Simplify right side
    218,212.64x = 53,545,813,391.28
  5. Step 5: Solve for x
    x = 53,545,813,391.28/218,212.64
  6. Step 6: Final answer
    x = 245,383.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.