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Finding the Fourth Proportional to 547,120.32, 755,064 and 305,450.40

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Solution

The fourth proportional to 547,120.32, 755,064 and 305,450.40 is: 421,542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,120.32 : 755,064 = 305,450.40 : x
  2. Step 2: Convert to fraction form
    547,120.32/755,064 = 305,450.40/x
  3. Step 3: Cross multiply
    547,120.32x = 755,064 × 305,450.40
  4. Step 4: Simplify right side
    547,120.32x = 230,634,600,825.60
  5. Step 5: Solve for x
    x = 230,634,600,825.60/547,120.32
  6. Step 6: Final answer
    x = 421,542.74

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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.