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Finding the Fourth Proportional to 547,661.06, 755,763.93 and 305,947.10

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Solution

The fourth proportional to 547,661.06, 755,763.93 and 305,947.10 is: 422,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,661.06 : 755,763.93 = 305,947.10 : x
  2. Step 2: Convert to fraction form
    547,661.06/755,763.93 = 305,947.10/x
  3. Step 3: Cross multiply
    547,661.06x = 755,763.93 × 305,947.10
  4. Step 4: Simplify right side
    547,661.06x = 231,223,782,668.10
  5. Step 5: Solve for x
    x = 231,223,782,668.10/547,661.06
  6. Step 6: Final answer
    x = 422,202.34

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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.