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Finding the Fourth Proportional to 320,048, 441,666.24 and 178,736

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Solution

The fourth proportional to 320,048, 441,666.24 and 178,736 is: 246,655.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,048 : 441,666.24 = 178,736 : x
  2. Step 2: Convert to fraction form
    320,048/441,666.24 = 178,736/x
  3. Step 3: Cross multiply
    320,048x = 441,666.24 × 178,736
  4. Step 4: Simplify right side
    320,048x = 78,941,657,072.64
  5. Step 5: Solve for x
    x = 78,941,657,072.64/320,048
  6. Step 6: Final answer
    x = 246,655.68

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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.