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Finding the Fourth Proportional to 393,185.63, 542,596.37 and 223,419.75

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Solution

The fourth proportional to 393,185.63, 542,596.37 and 223,419.75 is: 308,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,185.63 : 542,596.37 = 223,419.75 : x
  2. Step 2: Convert to fraction form
    393,185.63/542,596.37 = 223,419.75/x
  3. Step 3: Cross multiply
    393,185.63x = 542,596.37 × 223,419.75
  4. Step 4: Simplify right side
    393,185.63x = 121,226,744,219.21
  5. Step 5: Solve for x
    x = 121,226,744,219.21/393,185.63
  6. Step 6: Final answer
    x = 308,319.37

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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.