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Finding the Fourth Proportional to 320,306.64, 442,016.72 and 177,072.72

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Solution

The fourth proportional to 320,306.64, 442,016.72 and 177,072.72 is: 244,356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,306.64 : 442,016.72 = 177,072.72 : x
  2. Step 2: Convert to fraction form
    320,306.64/442,016.72 = 177,072.72/x
  3. Step 3: Cross multiply
    320,306.64x = 442,016.72 × 177,072.72
  4. Step 4: Simplify right side
    320,306.64x = 78,269,102,895.88
  5. Step 5: Solve for x
    x = 78,269,102,895.88/320,306.64
  6. Step 6: Final answer
    x = 244,356.79

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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.