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Finding the Fourth Proportional to 393,538.88, 543,081.10 and 223,773

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Solution

The fourth proportional to 393,538.88, 543,081.10 and 223,773 is: 308,805.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,538.88 : 543,081.10 = 223,773 : x
  2. Step 2: Convert to fraction form
    393,538.88/543,081.10 = 223,773/x
  3. Step 3: Cross multiply
    393,538.88x = 543,081.10 × 223,773
  4. Step 4: Simplify right side
    393,538.88x = 121,526,886,990.30
  5. Step 5: Solve for x
    x = 121,526,886,990.30/393,538.88
  6. Step 6: Final answer
    x = 308,805.29

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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.