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Finding the Fourth Proportional to 547,275.32, 755,255.02 and 305,548.60

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Solution

The fourth proportional to 547,275.32, 755,255.02 and 305,548.60 is: 421,665.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,275.32 : 755,255.02 = 305,548.60 : x
  2. Step 2: Convert to fraction form
    547,275.32/755,255.02 = 305,548.60/x
  3. Step 3: Cross multiply
    547,275.32x = 755,255.02 × 305,548.60
  4. Step 4: Simplify right side
    547,275.32x = 230,767,114,003.97
  5. Step 5: Solve for x
    x = 230,767,114,003.97/547,275.32
  6. Step 6: Final answer
    x = 421,665.49

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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.