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Finding the Fourth Proportional to 547,090.64, 755,072.64 and 320,736.16

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Solution

The fourth proportional to 547,090.64, 755,072.64 and 320,736.16 is: 442,667.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,090.64 : 755,072.64 = 320,736.16 : x
  2. Step 2: Convert to fraction form
    547,090.64/755,072.64 = 320,736.16/x
  3. Step 3: Cross multiply
    547,090.64x = 755,072.64 × 320,736.16
  4. Step 4: Simplify right side
    547,090.64x = 242,179,099,074.66
  5. Step 5: Solve for x
    x = 242,179,099,074.66/547,090.64
  6. Step 6: Final answer
    x = 442,667.23

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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.