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Finding the Fourth Proportional to 547,991.39, 821,908.72 and 188,155.51

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Solution

The fourth proportional to 547,991.39, 821,908.72 and 188,155.51 is: 282,206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,991.39 : 821,908.72 = 188,155.51 : x
  2. Step 2: Convert to fraction form
    547,991.39/821,908.72 = 188,155.51/x
  3. Step 3: Cross multiply
    547,991.39x = 821,908.72 × 188,155.51
  4. Step 4: Simplify right side
    547,991.39x = 154,646,654,385.05
  5. Step 5: Solve for x
    x = 154,646,654,385.05/547,991.39
  6. Step 6: Final answer
    x = 282,206.36

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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.