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Finding the Fourth Proportional to 547,643.20, 755,744.03 and 305,923.66

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Solution

The fourth proportional to 547,643.20, 755,744.03 and 305,923.66 is: 422,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,643.20 : 755,744.03 = 305,923.66 : x
  2. Step 2: Convert to fraction form
    547,643.20/755,744.03 = 305,923.66/x
  3. Step 3: Cross multiply
    547,643.20x = 755,744.03 × 305,923.66
  4. Step 4: Simplify right side
    547,643.20x = 231,199,979,680.75
  5. Step 5: Solve for x
    x = 231,199,979,680.75/547,643.20
  6. Step 6: Final answer
    x = 422,172.65

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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.