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Finding the Fourth Proportional to 547,380.18, 755,385.78 and 305,662.02

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Solution

The fourth proportional to 547,380.18, 755,385.78 and 305,662.02 is: 421,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,380.18 : 755,385.78 = 305,662.02 : x
  2. Step 2: Convert to fraction form
    547,380.18/755,385.78 = 305,662.02/x
  3. Step 3: Cross multiply
    547,380.18x = 755,385.78 × 305,662.02
  4. Step 4: Simplify right side
    547,380.18x = 230,892,743,394.08
  5. Step 5: Solve for x
    x = 230,892,743,394.08/547,380.18
  6. Step 6: Final answer
    x = 421,814.22

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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.